On U-equivalence spaces

Farshad Omidi; MohammadReza Molaei

Topological Algebra and its Applications (2015)

  • Volume: 3, Issue: 1, page 26-33, electronic only
  • ISSN: 2299-3231

Abstract

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In this paper induced U-equivalence spaces are introduced and discussed. Also the notion of U- equivalently open subsets of a U-equivalence space and U-equivalently open functions are studied. Finally, equivalently uniformisable topological spaces are considered.

How to cite

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Farshad Omidi, and MohammadReza Molaei. "On U-equivalence spaces." Topological Algebra and its Applications 3.1 (2015): 26-33, electronic only. <http://eudml.org/doc/271083>.

@article{FarshadOmidi2015,
abstract = {In this paper induced U-equivalence spaces are introduced and discussed. Also the notion of U- equivalently open subsets of a U-equivalence space and U-equivalently open functions are studied. Finally, equivalently uniformisable topological spaces are considered.},
author = {Farshad Omidi, MohammadReza Molaei},
journal = {Topological Algebra and its Applications},
keywords = {U-equivalence spaces; Uniformisable; U-equivalently open set; -equivalence spaces; uniformisable; -equivalently open set},
language = {eng},
number = {1},
pages = {26-33, electronic only},
title = {On U-equivalence spaces},
url = {http://eudml.org/doc/271083},
volume = {3},
year = {2015},
}

TY - JOUR
AU - Farshad Omidi
AU - MohammadReza Molaei
TI - On U-equivalence spaces
JO - Topological Algebra and its Applications
PY - 2015
VL - 3
IS - 1
SP - 26
EP - 33, electronic only
AB - In this paper induced U-equivalence spaces are introduced and discussed. Also the notion of U- equivalently open subsets of a U-equivalence space and U-equivalently open functions are studied. Finally, equivalently uniformisable topological spaces are considered.
LA - eng
KW - U-equivalence spaces; Uniformisable; U-equivalently open set; -equivalence spaces; uniformisable; -equivalently open set
UR - http://eudml.org/doc/271083
ER -

References

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  9. [9] Lowen, R.: Fuzzy uniform spaces. Journal of Mathematical Analysis and Applications, 82 2, 370–385 (1981). Zbl0494.54005
  10. [10] Melikhov, S.A.: Metrizable uniform spaces. http://arxiv.org/pdf/1106.3249v4.pdf, 1-77 (2012). 
  11. [11] Monna A.F.: Remarques sur les m´etriques non-Archim´ediennes. I, II, Indag. Math. 53 122–133, 179–191 (1950). 
  12. [12] Omidi, F., Molaei, M.R.: U-Equivalence spaces. J. Appl. Environ. Biol. Sci., 4 2, 299-305 (2014). 
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  14. [14] Van Rooij A.C.M.: Non-Archimedean uniformities. Kyungpook Math. J. 10, 21–30 (1970). Zbl0194.54704
  15. [15] Van Rooij A.C.M.: Non-Archimedean functional analysis, Marcel Dekker, 1978. Zbl0396.46061

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