Fréchet property in compact spaces is not preserved by -equivalence
Commentationes Mathematicae Universitatis Carolinae (2005)
- Volume: 46, Issue: 4, page 747-749
- ISSN: 0010-2628
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topOkunev, Oleg. "Fréchet property in compact spaces is not preserved by $M$-equivalence." Commentationes Mathematicae Universitatis Carolinae 46.4 (2005): 747-749. <http://eudml.org/doc/249515>.
@article{Okunev2005,
abstract = {An example of two $M$-equivalent (hence $l$-equivalent) compact spaces is presented, one of which is Fréchet and the other is not.},
author = {Okunev, Oleg},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$l$-equivalence; $M$-equivalence; Fréchet property; -equivalence; -equivalence},
language = {eng},
number = {4},
pages = {747-749},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fréchet property in compact spaces is not preserved by $M$-equivalence},
url = {http://eudml.org/doc/249515},
volume = {46},
year = {2005},
}
TY - JOUR
AU - Okunev, Oleg
TI - Fréchet property in compact spaces is not preserved by $M$-equivalence
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 4
SP - 747
EP - 749
AB - An example of two $M$-equivalent (hence $l$-equivalent) compact spaces is presented, one of which is Fréchet and the other is not.
LA - eng
KW - $l$-equivalence; $M$-equivalence; Fréchet property; -equivalence; -equivalence
UR - http://eudml.org/doc/249515
ER -
References
top- Arhangel'skii A.V., On linear homeomorphisms of function spaces, Soviet Math. Doklady 25 (1982), 852-855. (1982)
- Arhangel'skii A.V., Problems in -theory, J. van Mill and G.M. Reed (1990), 601-615 Open Problems in Topology North-Holland Amsterdam. (1990)
- Arhangel'skii A.V., Topological Function Spaces, Kluwer Acad. Publ. Dordrecht (1992). (1992) MR1485266
- Engelking R., General Topology, (1976), PWN Warszawa. (1976) Zbl0373.54001MR0500780
- Markov A.A., On free topological groups, Izv. Akad. Nauk SSSR Ser. Mat (1) (1945), Russian English transl.: Amer. Math. Soc. Transl. (1) 8 (1962). (1962)
- Okunev O., A method for constructing examples of M-equivalent spaces, Topology Appl. 36 (1990), 157-171 Correction Topology Appl. 49 (1993), 191-192. (1993) Zbl0779.54008MR1068167
- Okunev O., Tightness of compact spaces is preserved by the -equivalence relation, Comment. Mat. Univ. Carolinae 43 2 335-342 (2002). (2002) Zbl1090.54004MR1922131
- Simon P., A compact Fréchet space whose square is not Fréchet, Comment. Math. Univ. Carolinae 21 (1980), 749-753. (1980) Zbl0466.54022MR0597764
- Tkachuk V.V., Duality with respect to the functor and cardinal invariants of the type of the Souslin number, Math. Notes (1985), 37 3-4 247-252. (1985) MR0790433
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