A generic theorem in the theory of cardinal invariants of topological spaces

Aleksander V. Arhangel'skii

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 2, page 303-325
  • ISSN: 0010-2628

Abstract

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Relative versions of many important theorems on cardinal invariants of topological spaces are formulated and proved on the basis of a general technical result, which provides an algorithm for such proofs. New relative cardinal invariants are defined, and open problems are discussed.

How to cite

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Arhangel'skii, Aleksander V.. "A generic theorem in the theory of cardinal invariants of topological spaces." Commentationes Mathematicae Universitatis Carolinae 36.2 (1995): 303-325. <http://eudml.org/doc/247762>.

@article{Arhangelskii1995,
abstract = {Relative versions of many important theorems on cardinal invariants of topological spaces are formulated and proved on the basis of a general technical result, which provides an algorithm for such proofs. New relative cardinal invariants are defined, and open problems are discussed.},
author = {Arhangel'skii, Aleksander V.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lindelöf space; Souslin number; spread; extent; pseudocharacter; relative cardinal invariant; spread; relative cardinal invariants; quasi-Lindelöf spaces},
language = {eng},
number = {2},
pages = {303-325},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A generic theorem in the theory of cardinal invariants of topological spaces},
url = {http://eudml.org/doc/247762},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Arhangel'skii, Aleksander V.
TI - A generic theorem in the theory of cardinal invariants of topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 2
SP - 303
EP - 325
AB - Relative versions of many important theorems on cardinal invariants of topological spaces are formulated and proved on the basis of a general technical result, which provides an algorithm for such proofs. New relative cardinal invariants are defined, and open problems are discussed.
LA - eng
KW - Lindelöf space; Souslin number; spread; extent; pseudocharacter; relative cardinal invariant; spread; relative cardinal invariants; quasi-Lindelöf spaces
UR - http://eudml.org/doc/247762
ER -

References

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Citations in EuDML Documents

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  1. Winfried Just, The sizes of relatively compact T 1 -spaces
  2. Maddalena Bonanzinga, Maria Cuzzupé, Bruno Pansera, On the cardinality of n-Urysohn and n-Hausdorff spaces
  3. Yan-Kui Song, Spaces with large relative extent
  4. Aleksander V. Arhangel'skii, Raushan Z. Buzyakova, Convergence in compacta and linear Lindelöfness
  5. Yankui Song, On relatively almost Lindelöf subsets
  6. Alejandro Ramírez-Páramo, Noé Trinidad Tapia-Bonilla, A generalization of a generic theorem in the theory of cardinal invariants of topological spaces
  7. Liang-Xue Peng, A note on transitively D -spaces

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