Sum theorems for the tightness and π -character in the class of compact spaces

Mihail G. Tkachenko

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 1, page 51-62
  • ISSN: 0010-2628

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Tkachenko, 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

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  1. ARHANGEL'SKII A. V., An addition theorem for the weight of sets lying in bicompacta, Dokl. Akad. Nauk SSSR 126 (1959), 239-241. (1959) 
  2. APXAHГЕЛЬСКИЙ А. В., Об инвариантах характера типа и веса, Tpyды Mocк. Maт. О6-вa 38 (1979), 3-27. (1979) 
  3. TKAČENKO M. G., Some theorems on unions in the class of compacts, (in Russian), Siberian Math. J, to appear. 
  4. 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) 
  5. 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) 
  6. SHAPIROVSKII B. E., On mappings onto Tichonoff cubes, (in Russian), Uspechi Mat. Nauk 35 (1980), 122-130. (1980) 
  7. SHAPIROVSKII B. E., On π -character and π -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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