On some fan-tightness type properties

J. Valuyeva

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 2, page 415-421
  • ISSN: 0010-2628

Abstract

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Properties similar to countable fan-tightness are introduced and compared to countable tightness and countable fan-tightness. These properties are also investigated with respect to function spaces and certain classes of continuous mappings.

How to cite

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Valuyeva, J.. "On some fan-tightness type properties." Commentationes Mathematicae Universitatis Carolinae 39.2 (1998): 415-421. <http://eudml.org/doc/248288>.

@article{Valuyeva1998,
abstract = {Properties similar to countable fan-tightness are introduced and compared to countable tightness and countable fan-tightness. These properties are also investigated with respect to function spaces and certain classes of continuous mappings.},
author = {Valuyeva, J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$\omega $-cover; $vet^*(X)$; tightness; fan-tightness; biquotient mapping; $C_p(X)$; fan-tightness; },
language = {eng},
number = {2},
pages = {415-421},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On some fan-tightness type properties},
url = {http://eudml.org/doc/248288},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Valuyeva, J.
TI - On some fan-tightness type properties
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 2
SP - 415
EP - 421
AB - Properties similar to countable fan-tightness are introduced and compared to countable tightness and countable fan-tightness. These properties are also investigated with respect to function spaces and certain classes of continuous mappings.
LA - eng
KW - $\omega $-cover; $vet^*(X)$; tightness; fan-tightness; biquotient mapping; $C_p(X)$; fan-tightness;
UR - http://eudml.org/doc/248288
ER -

References

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  1. Arhangelskii A., Hurewicz spaces, analytic sets and fan tightness of function spaces, Soviet Math. Doklady 33 (1986), 396-399. (1986) MR0119188
  2. Arhangelskii A., Topological Function Spaces, Kluwer Academic Publishers Group, Dortrecht (1992). (1992) MR1144519
  3. Arhangelskii A., Bella A., Countable tightness versus countable fan-tightness, Comment. Math. Univ. Carolinae 37.3 (1996), 565-576. (1996) MR1426921
  4. Engelking R., General Topology, Heldermann Verlag, Berlin (1989). (1989) Zbl0684.54001MR1039321
  5. Sakai M., Property C ' ' and function spaces, Proc. Amer. Math. Soc. 104 (1988), 917-919. (1988) Zbl0691.54007MR0964873
  6. Uspenskii V.V., Frequency spectrum of functional spaces, Moscow Univ. Math. Bulletin 37 (1) (1982), 40-45. (1982) 

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