Sum theorems for the tightness and -character in the class of compact spaces
Commentationes Mathematicae Universitatis Carolinae (1983)
- Volume: 024, Issue: 1, page 51-62
- ISSN: 0010-2628
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topTkachenko, Mihail G.. "Sum theorems for the tightness and $\pi $-character in the class of compact spaces." Commentationes Mathematicae Universitatis Carolinae 024.1 (1983): 51-62. <http://eudml.org/doc/17228>.
@article{Tkachenko1983,
author = {Tkachenko, Mihail G.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {sum theorems; irreducible map; chain of subspaces; pi-character; tightness; Souslin number; weight; Shapirovskij's cardinal inequality},
language = {eng},
number = {1},
pages = {51-62},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sum theorems for the tightness and $\pi $-character in the class of compact spaces},
url = {http://eudml.org/doc/17228},
volume = {024},
year = {1983},
}
TY - JOUR
AU - Tkachenko, Mihail G.
TI - Sum theorems for the tightness and $\pi $-character in the class of compact spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 1
SP - 51
EP - 62
LA - eng
KW - sum theorems; irreducible map; chain of subspaces; pi-character; tightness; Souslin number; weight; Shapirovskij's cardinal inequality
UR - http://eudml.org/doc/17228
ER -
References
top- ARHANGEL'SKII A. V., An addition theorem for the weight of sets lying in bicompacta, Dokl. Akad. Nauk SSSR 126 (1959), 239-241. (1959)
- APXAHГЕЛЬСКИЙ А. В., Об инвариантах характера типа и веса, Tpyды Mocк. Maт. О6-вa 38 (1979), 3-27. (1979)
- TKAČENKO M. G., Some theorems on unions in the class of compacts, (in Russian), Siberian Math. J, to appear.
- TKAČENKO M. G., On the behaviour of cardinal function under the union operation of a chain of spaces, (in Russian), Vestnik of Moscow State Univ., ser. math., mech., N 4 (1978), 50-58. (1978)
- SHAPIROVSKII B. E., Canonical sets and character. Density and weight in compact spaces, Dokl. Akad. Nauk SSSR 218 (1974), 58-61 (Soviet Math. Dokl. 15 (1974), 1282-1287). (1974)
- SHAPIROVSKII B. E., On mappings onto Tichonoff cubes, (in Russian), Uspechi Mat. Nauk 35 (1980), 122-130. (1980)
- SHAPIROVSKII B. E., On -character and -weight in compact Hausdorff spaces, Dokl. Akad. Nauk SSSR 223 (1975), 799-802 (Soviet Math. Dokl. 16 (1975), 999-1004). (1975)
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