On stratifiable fuzzy topological spaces

Alexander P. Šostak

Mathematica Bohemica (1992)

  • Volume: 117, Issue: 2, page 169-184
  • ISSN: 0862-7959

Abstract

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The aim of the paper is to extend the notion of stratifiability from the category Top of topological spaces to the category CFT of [Chang] fuzzy topological spaces and to develop the corresponding theory.

How to cite

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Šostak, Alexander P.. "On stratifiable fuzzy topological spaces." Mathematica Bohemica 117.2 (1992): 169-184. <http://eudml.org/doc/29053>.

@article{Šostak1992,
abstract = {The aim of the paper is to extend the notion of stratifiability from the category Top of topological spaces to the category CFT of [Chang] fuzzy topological spaces and to develop the corresponding theory.},
author = {Šostak, Alexander P.},
journal = {Mathematica Bohemica},
keywords = {stratifiable fuzzy space; topological domination; fuzzy topology; stratifiability; stratifiable fuzzy space; topological domination},
language = {eng},
number = {2},
pages = {169-184},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On stratifiable fuzzy topological spaces},
url = {http://eudml.org/doc/29053},
volume = {117},
year = {1992},
}

TY - JOUR
AU - Šostak, Alexander P.
TI - On stratifiable fuzzy topological spaces
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 2
SP - 169
EP - 184
AB - The aim of the paper is to extend the notion of stratifiability from the category Top of topological spaces to the category CFT of [Chang] fuzzy topological spaces and to develop the corresponding theory.
LA - eng
KW - stratifiable fuzzy space; topological domination; fuzzy topology; stratifiability; stratifiable fuzzy space; topological domination
UR - http://eudml.org/doc/29053
ER -

References

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  1. C. J. R. Borges, 10.2140/pjm.1966.17.1, Pacific J. Math. 17 (1966), 1-16. (1966) Zbl0175.19803MR0188982DOI10.2140/pjm.1966.17.1
  2. C. J. R. Borges, 10.1016/0016-660X(71)90113-9, General Topology Appl. 1 (1971), 79-84. (1971) MR0293571DOI10.1016/0016-660X(71)90113-9
  3. R. Cauty, Retractions dans les espaces stratifiables, Bull. Soc. Math. France 105 (1961), 129-149. (1961) MR0355957
  4. J. Ceder, 10.2140/pjm.1961.11.105, Pacific J. Math. 11 (1961), 105-125. (1961) MR0131860DOI10.2140/pjm.1961.11.105
  5. C. L. Chang, 10.1016/0022-247X(68)90057-7, J. Math. Anal. Appl. 24 (1968), 182-190. (1968) Zbl0167.51001MR0236859DOI10.1016/0022-247X(68)90057-7
  6. F. T. Christoph, 10.1016/0022-247X(77)90242-6, J. Math. Anal. Appl. 57 (1977), 497-504. (1977) Zbl0357.54008MR0440480DOI10.1016/0022-247X(77)90242-6
  7. R. Engelking, General Topology, PWN, Warszawa, 1977. (1977) Zbl0373.54002MR0500780
  8. T. E. Gantner R. C. Steinlage R. H. Warren, 10.1016/0022-247X(78)90148-8, J. Math. Anal. Appl. 62 (1978), 547-562. (1978) MR0488689DOI10.1016/0022-247X(78)90148-8
  9. B. Hutton, 10.1016/0022-247X(75)90039-6, J. Math. Anal. Appl. 50 (1975), 74-79. (1975) Zbl0297.54003MR0370457DOI10.1016/0022-247X(75)90039-6
  10. B. Hutton, 10.1016/0022-247X(77)90192-5, J. Math. Anal. Appl. 58 (1977), 559-571. (1977) Zbl0358.54008MR0644639DOI10.1016/0022-247X(77)90192-5
  11. J. L. Kelley, General Topology, New York, 1955. (1955) Zbl0066.16604MR0070144
  12. R. Lowen, 10.1016/0022-247X(78)90052-5, J. Math. Anal. Appl. 64 (1978), 446-454. (1978) MR0497443DOI10.1016/0022-247X(78)90052-5
  13. J-iti Nagata, Some theorems on generalized metric spaces, Theory of Sets and Topology, VEB, Berlin, 1972, pp. 377-390. (1972) MR0341425
  14. Pu Pao-ming, Liu Ying-ming, 10.1016/0022-247X(80)90048-7, J. Math. Anal. Appl. 76(1980), 571-599. (1980) Zbl0447.54006MR0587361DOI10.1016/0022-247X(80)90048-7
  15. Pu Pao-ming, Liu Ying-ming, Fuzzy topology II. Product and quotient spaces, J. Math. Anal. Appl., 77 (1980), 20-37. (1980) Zbl0447.54007MR0591259
  16. A. P. Šostak, Some remarks about bijections onto metric spaces, Czechoslovak Math. J. 34 no. 109 (1984), 227-238. (1984) MR0743487
  17. A. P. Šostak, A fuzzy modification of a linearly ordered space, Coll. Math. Soc. Janos Bolyai, Topol. and Appl. 41 (1983), 581-604. (1983) MR0863941
  18. L. A. Zadeh, 10.1016/S0019-9958(65)90241-X, Inform. and Control 8 (1965), 338-353. (1965) Zbl0139.24606MR0219427DOI10.1016/S0019-9958(65)90241-X
  19. R. H. Warren, 10.1216/RMJ-1978-8-3-459, Rocky Mount. J. Math. 9 (1978), 459-470. (1978) Zbl0394.54003MR0478091DOI10.1216/RMJ-1978-8-3-459
  20. A. V. Arkhangelskii, Mappings and spaces, Uspekhi mat. nauk 21 no, 4 (1966), 133-184. (In Russian.) (1966) 
  21. S. Mardešić A. P. Šostak, On perfect preimages of stratifiable spaces, Uspekhi mat. nauk 35 no. 3 (1980), 84-93. (In Russian.) (1980) MR0580624
  22. A. P. Šostak, Fuzzy stratifiable spaces, Leningrad. Internat. Topological Conf., Leningrad, 1982, p. 153. (In Russian.) (1982) MR0760276
  23. A. P. Šostak, On fuzzy stratifiable spaces, Topologia i Teoria Mnozhestv, Izhevsk, 1982, pp. 71-74. (In Russian.) (1982) MR0760276
  24. A. P. Šostak, Functional characteristic of fuzzy stratifiable spaces, Topologicheskie prostranstva i otobrazhenia, Riga, 1985, pp. 158-165. (In Russian.) (1985) 
  25. A. P. Šostak, Two decades of fuzzy topology: principal ideas, notions and results, Uspekhi mat. nauk 44 no. 6 (1989), 99-147. (In Russian.) (1989) MR1037011
  26. A. P. Shostak, On the property of E-regularity in fuzzy topology, Nechetkie sistemi, Poderzhki prinyatia reshenii, Kalinin, 1989, pp. 4-14. (In Russian.) (1989) 

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