A large F σ -discrete Fréchet space having the Souslin property

Vladimir Vladimirovich Uspenskij

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 2, page 257-260
  • ISSN: 0010-2628

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Uspenskij, Vladimir Vladimirovich. "A large $F_\sigma $-discrete Fréchet space having the Souslin property." Commentationes Mathematicae Universitatis Carolinae 025.2 (1984): 257-260. <http://eudml.org/doc/17314>.

@article{Uspenskij1984,
author = {Uspenskij, Vladimir Vladimirovich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Souslin number; Fréchet space; countable tightness; countable pseudocharacter; -product; dense subspace; union of countably many closed discrete sets; diagonal},
language = {eng},
number = {2},
pages = {257-260},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A large $F_\sigma $-discrete Fréchet space having the Souslin property},
url = {http://eudml.org/doc/17314},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Uspenskij, Vladimir Vladimirovich
TI - A large $F_\sigma $-discrete Fréchet space having the Souslin property
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 2
SP - 257
EP - 260
LA - eng
KW - Souslin number; Fréchet space; countable tightness; countable pseudocharacter; -product; dense subspace; union of countably many closed discrete sets; diagonal
UR - http://eudml.org/doc/17314
ER -

References

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  1. JUHÁSZ I., Cardinal functions in topology - ten years later, Math. Centre Tracts 123, Amsterdam 1980. (1980) MR0576927
  2. APXAHГEЛЬCKИЙ A. B., Cтpoeнмe н клaccификaция тoпoлoгичecкиx пpocтpaнcтв н кapдинaльннe инвapиaнты, Уcпexм мaтeм. нayк 33 (1978), 6, 29-84. (1978) 
  3. AМИРДЖAHOВ Г. П., O вcюдy плoтныx пoдпpocтpaнcтвax cчeтнoгo пceвдoxapaктepa и дpyrнx oбoбщeнняx ceпapaбeльнocтм, Дoклaды AH CCCP 234 (1977), 993-996. (1977) 
  4. SIMON P., A note on cardinal invariants of square, Comment. Math. Univ. Carolinae 14 (1973), 205-213. (1973) Zbl0258.54003MR0339044
  5. GINSBURG J., WOODS R. G., A cardinal inequality for topological spaces involving closed discrete sets, Proc. Amer. Math. Soc. 64 (1977), 357-360. (1977) Zbl0398.54002MR0461407

Citations in EuDML Documents

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  1. Dmitriĭ B. Shakhmatov, No upper bound for cardinalities of Tychonoff C.C.C. spaces with a G δ -diagonal exists (an answer to J. Ginsburg and R. G. Woods’ question)
  2. Vladimir Vladimirovich Tkachuk, Approximation of 𝐑 X with countable subsets of C p ( X ) and calibers of the space C p ( X )
  3. Wei-Feng Xuan, Wei-Xue Shi, Spaces with property ( D C ( ω 1 ) )
  4. Wei-Feng Xuan, Wei-Xue Shi, Cardinalities of DCCC normal spaces with a rank 2-diagonal
  5. Wei-Feng Xuan, An observation on spaces with a zeroset diagonal

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