journal of Mathematical Sciences. Vol. 91, No. 6. 1998

B I B L I O G R A P H Y O N B I T O P O L O G I C A L S P A C E S . 3

A. A. Ivanov UDC 515.122.4

Bibliography: 118 titles.

In compiling the third anf final part of the bibliography on bitopological spaces for publication in "Za- piski Nauchnykh Seminarov POMI," the review journals "Mathematics," "Mathematical Reviews," and "Zentralblatt ffir Mathematik" have mainly been used. The compiler had practically no other sources of bibliographical information. In recent years, the totality of mathematical literature in the libraries of Saint Petersburg has considerably decreased, so that many papers proved to be inaccessible.

The numeration of all three parts of the bibliography is continuous, so that the third part starts with number 479. 479. J. M. Aarts and M. Mrgevid, "A bitopological view on cocompact extensions," Topoi. ANal. , 83, 1-16

(1991). 480. S. P. Arya and T. M. Nour, "Pairwise almost locally connected spaces," Bull. Calcutta Math. Soc.,

83, 91-95 (1991). 481. A. V. Arkhangel'skii and B. M. Bokalo, "The tangency of topologies and tangential properties of

topological spaces," Tr. Mosk. Mat. Ob3hch., 54, 160-185 (1992). 482. M. Atsuji, "Pseudo- and countable compactness and bitopological spaces. 2," Quest. Answers Gen.

Topology, 11, 19-49 (1993). 483. G. Balasubramania~l, "Extremal disconnectedness in bitopological spaces," Bull. Calcutta Math. Soc.,

83, 247-352 (1991). 484. G. Balasubramanian, "Bitopological [a,b] compactness," Kyungpook Math. J., 32,257-261 (1992). 485. P. K. Bhola and P. L. Sharma, "Fixed point theorem for metric space with two metrics," Acta Cienc.

Indica, Math., 17, 581-584 (1991). 486. L. M. Brown, "Semi-sequentially normal bitopological spaces," Topoi. AppI., Syrup. Gen. Top. Appl.,

44, 57-62 (1992). 487. R. K. Chandrasekhaxa, "Pairwise strongly continuous function," Proc. Natl. Acad. Sci. India, Sec. A,

62,253-267 (1992). 488. C. Chattopadhyay and C. Bandyopadhyay, "Resolvability and irresolvability in bitopological spaces,"

Soochow J. Math., 19, 435-442 (1993). 489. Choe Tae Ho and Chae Yunki, "The spectral theory for ordered topological spaces," Houston J. Math.,

19, 443-453 (1993). 490. L. Cirid, "Periodic and fixed point theorems in a quasi-metric space," J. Austral. Math. Soc., Ser. A,

54, 80-85 (1993). 491. A. Css163 "D-Complete extensions of quasi-uniform spaces," Acta Math. Hungar., 64, 41-54 (1994). 492. N. R. Das and P. Das, "Mixed topological groups," Indian J. Pure Appl. Math., 22,323-329 (1991). 493. J. Deak, "A non-completely regular quiet quasi-metric," Math. Pannon., 1, 111-116 (1990). 494. J. Deak, "Extensions of quasi-uniformities for prescribed bitopologies. 1," Stud. Sci. Math. Hungar.,

25, 45-67 (1990). 495. J. Deak, "Extensions of quasi-uniformities for prescribed bitopcrlogies. 2," Stud. Sci. Math. Hungar.,

25, 69-96 (1990). 496. J. Deak, "Quasi-uniform extensions for finer topologies," Stud. Sci. Math. Hungar., 25, 97-105 (1990). 497. J. Deak, "Notes on extensions of quasi-uniformities for prescribed topologies," Stud. Sci. Math. Hun-

gar., 25,231-234 (1990). 498. J. Deak, "Bimerotopies. 1," Stud. Sci. Math. Hungar., 25, 24t-259 (1990).

Translated from Zapiski Nauchnykh Serninarov POMI, Vol. 231, 1995, pp. 55-61. Original article submitted May 15, 1995.

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499. 500. 501. 502. 503.

504.

505. 506.

507.

508.

509.

510.

511.

512. 513. 514.

515.

516.

517.

518. 519.

520. 521.

522.

523.

524. 525.

526. 527. 528.

529.

530.

J. Deak, "Bimerotopies. 2," Stud. Sci. Math. Hungar., 25, 307-321 (1990). J. Deak, "On bitopological spaces. 1," Stud. Sci. Math. Hungar., 25,457-481 (t990). J. Deak, "On bitopological spaces. 2," Stud. Sci. Math. Hungar., 26, 1-17 (1991). J. Deak, "On bitopological spaces. 3," Stud. Sci. Math. Hungar., 26, 19-33 (1991). J. Deak, "On extensions of syntopogenous structures. 1," Stud. Sci. Math. Hungar., 26, 135-145 (1991). J. Deak, "On the coincidence of some notions of quasi-uniform completeness defined by filter pairs," Stud. Sci. Math. Hungar., 26,411--413 (1991). J. Deak, "A counterexample on completeness in relator spaces," Publ. Math., 41,307-309 (1992). D. Doitchinov, "Another class of completable quasi-uniform spaces," C. R. Acad. Bulgare Sci., 44, 5-6 (1991). D. Doitchinov, "The completeness and completion of quasi-uniform spaces," Tr. Mat. Inst. Steklov., 193, 103-107 (1992). K. K. Dube, O. S. Panwar, and R. K. Tiwari, "On weakly pairwise irresolute mappings," Bull. Calcutta Math. Soc., 82,250-255 (1990). K. K. Dube, O. S. Panwar, and R. K. Tiwari, "A note on pairwise K-continu0us mappings," J. Indian Acad. Math., 12, 156-162 (1990). K. K. Dube, O. S. Panwar, and R. K. Tiwari, "Some properties of set-quasi-connected mappings," Bull. Calcutta Math. Soc., 83, 531-536 (1991). K. K. Dube and R. K. Tiwari, "Quasiconnectedness between sets," Vijnane Parishad Anu, andhan Patrica, 35, 29-35 (1992). B. Dvalishvili, "On some bitopological applications," Mat. Vesn., 42, 155-165 (1990). J. Ewert, "On quasi-metrization of bitopological spaces," Bol. Soc. Mexicana, 33, 33-37 (1988). J. Ewert, "On quasi-uniform convergent sequences of multivalued maps," Bull. Pol. Acad. Sci. Math., 37, 137-143 (1989). J. Fetter, V. Gregori, and C. Alegre, "On some questions in quasi-uniform topological spaces," Stochas- tica, 13, 37-42 (1992). J. Ferret, V. Gregori, and C. Alegre, "A note on pairwise normal spaces," Indian J. Pure Appl. Math., 24, 595-601 (1993). P. Fletcher and W. Hunsaker, "Entourage uniformities for frames," Monatah. Math., 112, 271-279 (1991). P. Fletcher and W. Hunsaker, "Completeness using pairs of filters," Top. Appl., 44, 149-155 (1992). P. Fletcher and W. Hunsaker, "Symmetry conditions in term of open sets," Top. Appl., 45, 39-47 (1992). P. Fletcher and W. Hunsaker, "Totally bounded uniformity for frames," Top. Proc., 17, 59-69 (1992). P. Fletcher, W. Hunsaker, and W. Lindgren, "Characterizations of frame quasi-uniformities," Quaes- tione8 Math., 16,371-383 (1993). P. Fletcher, W. Hunsaker, and W. Lindgren, "Totally bounded frame quasi-uniformity," Comment. Math. Univ. Carol., 34, 529-537 (1993).

�9 P. Fletcher, W. Hunsaker, and W. Lindgren, "Frame quasi-uniformities," Monatsh. Math., 117, 223- 236 (1994). T. Fukutake, "On (ri, u)-Baire spaces," Bull. Fukuoka Univ. Educ., Part 3, 41, 35-40 (1992). M. Ganster and I. L. Reilly, "On pairwise paracompactness," J. Austral. Math. Soc., Set. A, 53, 281-285 (1992). A. N. Geaisa, "On pairwise regularity," Delta J. Sci., 13, 567-580 (1989). B. Hutton, "Uniformities on fuzzy topological spaces," J. Math. Anal. Appl., 58, 559-571 (1977). A. A. Ivanov, "Problems of the theory of bitopological spaces. 2," Zap. Nauchn. Semin. POMI, 208, 5-67 (1993). A. A. Ivanov, "Bibliography on bitopological spaces. 2," Zap. Nauchn. Semin. POMI, 208, 68-81 (1993). M. Jelid, "On some mappings of bitopological spaces," Suppl. Rend. Circ. Mat. Palermo, Set. 2, 29, 483-494 (1992).

3366

531. 532. 533.

534.

535.

536. 537.

538.

539.

540. 541.

542. 543.

544.

545. 546. 547.

548.

549. 550.

551.

552.

553.

554. 555.

556.

557.

558.

559.

560.

M. Jet]d, "On pairwise To-spaces," Mat. Vesn., 42,207-209 (1990). M. Jeli6, "On pairwise LC-continuous mapping," Indian J. Pure Appl. Math., 22, 55-59 (1991). A. Kandil, E. E. Kerre, M. E. El-Shale], and A. A. Nogh, "Quasi 0-spaces and pairwise 0-perfect irreducible mappings," J. Austral. Math. Soc., Ser. A, 52,322-333 (1992). A. Kar and P. Bhattacharyya, "Bitopological preopen sets, precontinuity and preopen mappings," Indian J. Math., 34, 295-309 (1992). C. Kelly, J. Ferrer, and V. Gregory, "A short note on pairwise normal spaces," Kyungpook Math. J., 33, 199-203 (1993). F. H. Khedr, "0-1rresolute mappings in bitopological spaces," Arabian J. Sci. Eng., 46,423-426 (1991). F. H. Khedr and A. M. A1shibani, "On pairwise super continuous mappings in bitopological spaces," Int. J. Math. Sci., 14, 715-722 (1991). F. H. Khedr, S. M. AI-Areefi, and T. Noiri, "Precontinuity and semi-precontinuity in bitopological spaces," Indian J. Pure Appl. Math., 23, 625-633 (1992). F. H. Khedr, "Weakly semi-continuous mappings in bitopological spaces," Bull. Fac. Sci. Math. Assuit Univ., 21, 1-10 (1992). F. H. Khedr, "ca-Continuity in bitopological spaces," Arabian J. Sci. Eng., 17, 85-89 (1992). F. H. Khedr and S. M. A1-Areefi, "/9-Connectedness and 5-connectedness in bitopological spaces," Arabian J. Sci. Eng., 18, 51-56 (1993). T. Konik, "On the tangency of sets of the class .Mp,k," Publ. Math., 43, 329-335 (1993). Ch. Konstaditaki-Savvopoulou, "On bitopological boundedness," Ann. Soc. Sci. Bruzelles, 104, 103- 116 (1990). R. Kopperman, "Total boundedness and compactness for filter pairs," Ann. Univ. Sci. Budapest, Sect. Math., 33, 25-30 (1991). R. D. Kopperman, "Which topologies are quasimetrizable?", Top. Appl., 52, 99-107 (1993). H.-P. A. Kiinzi, "Totally bounded quiet quasi-uniformities," Top. Proc., 15, 113-115 (1990). H.-P. A. Kiinzi, "Functorial admissible quasi-uniformities on topological spaces," Top. Appl., 43, 27-36 (1992). H.-P. A. Kiinzi, "Strongly zero-dimensional bispaces," J. Austral. Math. Sac., Ser. A, 53, 327-337 (1992). H.-P. A. Kiinzi, "Complete quasi-pseudo-metric spaces," Acta Math. Hungar., 59, 121-146 (1992). H.-P. A. Kiinzi, "Minimal order compactifications and quasi-uniformities," in: Recent Development of General Topology and Its Applications, Int. Conf. in Mere. Hausdorff (1868-1942), Berlin, March 22-28, 1992 (Math. Res., 67), Akademie-Verlag, Berlin (1992), pp. 181-186. H.-P. A. Kfinzi and H. J. K. Junnila, "Stability in quasi-uniform spaces and the inverse problem," Top. Appl., 49, 175-189 (1993). H.-P. A. Kiinzi, M. Mrsevid, I. L. Reilly, and M. K. Vamanarnurthy, "Convergence, precompactness and symmetry in quasi-uniform spaces," Math. Jpn., 38, 235-253 (1993). H. Maki, P. Sundaram, and P. Balachandran, "On generalized continuous maps and the pasting lemma in bitopological spaces," Bull. Fukuoka Univ., Ed. 3, 40, 23-31 (1991). J. Mala, "An equation for families of relations," Pure Math. Appl., Ser. B1, 185-188 (1990). J. Mala, "Relators generating the same generalized topology," Acta Math. ltungar., 60, 291-297 (1992). J. Marin and S. Romaguera, "On some types of open covers," in: Proc. 12th Port.-Span. Conf. Math., Vol. 2., Univ. Minho, Braga (1987), pp. 656-659. J. Marin and S. Romaguera, "Monotonically normal bitopological spaces," in: Geometry and Topology, Proc. 15th Port.-Span. Meet] Math., Evora/Port., 1990, Vol. 3 (1991), pp. 53-58. J. Marin and S. Romaguera, "Pairwise monotonically normal spaces," Comment. Math. Univ. Carolin., 32,567-579 (1991). J. Marin and S. Romaguera, "Correction to the paper 'Pairwise monotonically normal spaces'," Com- ment. Math. Univ. Carolin., 33, 181 (1992). A. S. Mashhour, A. A. Allam, and I. A. Hasanein, "Bisupratopological spaces," Proc. Math. Phys. Soc. Egypt, 1990, 62, 39-47 (1986).

3367

561.

562.

563. 564.

565.

566.

567.

568.

569.

570.

571. 572. 573. 574.

575.

576.

577.

578. 579.

58O. 581.

582.

583.

584.

585.

586.

587. 588.

M. Mr~evid and I. L. Reilly, "Separation properties of a topological space and its associated topology of a-subsets," Kyungpook Math. J., 33, 75-86 (1993). Nayar, M. P. Bhamini, and S. P. Arya, "Pairwise s-normal spaces," Rev. Colombiana Math., 26, 25-37 (1992). H. Ogata and H. Maki, "Bioperations on topological spaces," Math. Jpn., 38,981-983 (1993). H. Ogata and H. Maki, "Correction to the paper 'Bioperations in topological spaces'," Math. Jpn., 39, 201 (1994). H. Onay, "The Wallman compactification of semi-pairwise T]-bitopological spaces," Bull. Inst. Math. Acad. Sin., 18, 247-259 (1994). B. K. Papadopoulos and Th. K. Kouphos, "Exponential laws for function spaces equipped with the quasi-uniformity of the quasi-uniform convergence," Ann. Soc. Sci. Bruzelles, 101, 89-97 (1994). B. K. Papadopoulos, "Ascoli's theorem in a quiet quasi-uniform space," Panamerican Math. J., 3, 19-22 (1993). V. Popa, "Properties of rarely palrwise continuous functions," Math. Rev. Anal. Numer. Theor. Ap- prozim. Mathernatica (Cluj), 32 (55), 77-80 (1990). M. D. Rabrenovid, "On generalized connectivity in bitopological spaces," in: Topology, Theory and Applications, II, Pries, t989 (Colloq. Math. Soc. Janos Bolyal, 55), North-Holland, Amsterdam (1993), pp. 425-436. S. Romaguera and S. Salbany, "On the Nemytzki-Tichonoff theorem for distance spaces," Fasc. Math., 19, 223-231 (1990). S. Romaguera, "g-Bifunctions and quasi-pseudometrization," Math. Jpn., 37, 337-340 (1992). S. Romaguera, "Left K-completeness in quasi-metric spaces," Math. Nachr., 157, 15-23 (1992). S. Romaguera, "Quasi-metrizable spaces with bicomplete structure," Eztracta Math., 7, 99-102 (1992). S. Romaguera and J. A. Antonino, "On Lebesgue quasi-metrizability," Boll. Unione Mat. Ital., Set. VII, AT, 59-66 (1993).

S. Romaguera and S. Salbany, "On bicomplete quasi-pseudometrizability," Top. AppI., 50, 283-289 (1993). S. Romaguera and J. Tarres, "Dimension of quasi-metrizable spaces and bicompleteness degree," Eztracta Math., 8, 39-41 (1993). K. S. Sampath, "Palrwise a-open, a-closed and a-irresolute functions on bitopological spaces," Bull. Inst. Math. Acad. Sin., 21, 59-72 (1993). A. Schauerte, "Biframe compactifications," Comment. Math. Univ. Carolin., 34, 567-574 (1993). S. K. Sen, J. N. Nandi, and M. N. Mukherjee, "Characterization of some bitopotogical axioms in terms of i j-O-closure operator," Mat. Vesn., 44, 75-82 (1992). S. K. Sen, "A note on palrwise 0-connectedness," Bull. Calcutta Math. Soc., 85,263-268 (1993). S. K. Sen, "Some noncontinuous functions and separation axioms in bitopological spaces," Soochow Y. Math., 19, 1-10 (1993). S. K. Sen and M. N. Mukherjee, "Some characterization of bitopological QHC-spaces," Indian J. Pure "Appl. Math., 24, 389-399 (1993). S. K. Sen, "Bitopological cluster sets and their applications to bitopological separation axioms," Kyungpook Math. J., 34, 117-126 (1994). S. K. Sen and M. N. Mukherjee, "On extension of certain map from a topological space to a bitopo- logical space," Indian J. Pure Appl. Math., 25, 507-511 (1994). R. S. Sharma, "Fixed point theorem in bi-metric space," Acta Cienc. Indica, Math., 17, 347-350 (1991). A. R. Singal and S. Lal, "A Wallman type compactification for a bitopological space," Bull. Inst. Math. Acad. Sin., 11, 23-29 (1983). A. P. Sinha, "Biconvergence groups and some theorems," Math. Educ., 27, 53-55 (1993). M. B. Smyth, "Completeness of quasi-uniform and syntopological spaces," J. London Math. Soc., Set. II, 49,385-400 (1994).

3368

589. Ph. Siinderhauf, "The Smyth-completion of a quasi-uniform space," in: Semantics of Programming Languages and Model Theory, Int. Conf. Schloss Dagstuhl. Germany, June 23-29, 1991, Yverdon (Algebra Log. Appl., 5), Gordon and Breach (1993), pp. 189-212.

590. S. F. Tadros, "On some separation axioms in bitopological spaces," Delta J. Sci., 13, 44-66 (1989). 591. M. L. Thivagar, "Generalization of pairwise a-continuous functions," Pure Appl. Math. Sci., 33, 55-66

(1991). 592. Umehara Jun-iti, H. Maki, and T. Noiri, "Bioperations on topological spaces and some separation

axioms," Mere. Fac. Sci. Kochi Univ., 13, 45-59 (1992). 593. G. Wang and H. Wang, "Quasi-uniformities and topologies," Acta Math. Sin., 36, 207-216 (1993). 594. C. Wu and J. Wu, "Fuzzy quasi-uniformities and fuzzy bitopological spaces," Fuzzy Sets Syst., 46,

133-137 (1992). 595. Xin Yu Mei, "Some properties of the bicontiguous spaces and pairwise contiguous spaces," J. Harbin

Inst. Tech., 23, 97-99 (1991). 596. Xin Yu Mei, "Bicontiguous spaces and their properties," J. Harbin Inst. Tech., 24, 1-4 (1992).

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