More on the product of pseudo radial spaces

Angelo Bella

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 1, page 125-128
  • ISSN: 0010-2628

Abstract

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It is proved that the product of two pseudo radial compact spaces is pseudo radial provided that one of them is monolithic.

How to cite

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Bella, Angelo. "More on the product of pseudo radial spaces." Commentationes Mathematicae Universitatis Carolinae 32.1 (1991): 125-128. <http://eudml.org/doc/247264>.

@article{Bella1991,
abstract = {It is proved that the product of two pseudo radial compact spaces is pseudo radial provided that one of them is monolithic.},
author = {Bella, Angelo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {radial; almost radial; pseudo radial; strictly convergent sequence; product; monolithic; compact pseudo radial space; compact monolithic pseudo radial space},
language = {eng},
number = {1},
pages = {125-128},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {More on the product of pseudo radial spaces},
url = {http://eudml.org/doc/247264},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Bella, Angelo
TI - More on the product of pseudo radial spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 125
EP - 128
AB - It is proved that the product of two pseudo radial compact spaces is pseudo radial provided that one of them is monolithic.
LA - eng
KW - radial; almost radial; pseudo radial; strictly convergent sequence; product; monolithic; compact pseudo radial space; compact monolithic pseudo radial space
UR - http://eudml.org/doc/247264
ER -

References

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  1. Arhangel'skii A.V., Factorization theorems and function spaces. Stability and monolithicity, Soviet Math. Dokl. 26 (1982), 177-182. (1982) 
  2. Arhangel'skii A.V., Isler R., Tironi G., Pseudo radial spaces and another generalization of sequential spaces, Proc. conference on convergence, Bechyně (1984), Mathematical research 24, Akademie-Verlag Berlin (1985), pages 33-37. MR0835468
  3. Bella A., Tironi G., Further results on the product of chain-net spaces, preprint. Zbl0848.54004
  4. Frolík Z., Isler R., Tironi G., Some results on chain-net and sequential spaces, Colloquium Societatis J. Bólyai, 41 Topology and applications (1983). 
  5. Frolík Z., Tironi G., Products of chain-net spaces, Rivista di Matematica Pura e Applicata Udine 5 (1989). MR1061337
  6. Gerlits J., Private communication, . 
  7. Juhász I., Cardinal functions in topology-Ten years later, Math Centrum Amsterdam 1980. MR0576927

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