On sub-, pseudo- and quasimaximal spaces

J. Schröder

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 1, page 197-206
  • ISSN: 0010-2628

Abstract

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The structure of sub-, pseudo- and quasimaximal spaces is investigated. A method of constructing non-trivial quasimaximal spaces is presented.

How to cite

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Schröder, J.. "On sub-, pseudo- and quasimaximal spaces." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 197-206. <http://eudml.org/doc/248274>.

@article{Schröder1998,
abstract = {The structure of sub-, pseudo- and quasimaximal spaces is investigated. A method of constructing non-trivial quasimaximal spaces is presented.},
author = {Schröder, J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {submaximal; quasimaximal; pseudomaximal; ultrafilter; tensorproduct; measurable cardinal; $\sigma $-discrete; tree; Čech-Stone-compactification; retraction; submaximal space; quasimaximal space; pseudomaximal space},
language = {eng},
number = {1},
pages = {197-206},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On sub-, pseudo- and quasimaximal spaces},
url = {http://eudml.org/doc/248274},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Schröder, J.
TI - On sub-, pseudo- and quasimaximal spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 197
EP - 206
AB - The structure of sub-, pseudo- and quasimaximal spaces is investigated. A method of constructing non-trivial quasimaximal spaces is presented.
LA - eng
KW - submaximal; quasimaximal; pseudomaximal; ultrafilter; tensorproduct; measurable cardinal; $\sigma $-discrete; tree; Čech-Stone-compactification; retraction; submaximal space; quasimaximal space; pseudomaximal space
UR - http://eudml.org/doc/248274
ER -

References

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  2. Bourbaki N., General Topology, Part 1, Addison-Wesley Publishing Company, Reading, Massachusetts, 1966. Zbl0301.54001
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  5. Engelking R., General Topology, PWN, Warszawa, 1977. Zbl0684.54001MR0500780
  6. Guthrie J.A., Stone H.E., Wage M.L., Maximal connected Hausdorff topologies, Topology Proc. 2 (1977), 349-353. (1977) 
  7. van Douwen E.K., Applications of maximal topologies, Topology Appl. 51 (1993), 125-139. (1993) Zbl0845.54028MR1229708
  8. Arhangel'skii A.V., Collins P.J., On submaximal spaces, Topology Appl. 64 (1995), 219-241. (1995) MR1342519
  9. Dontchev J., On submaximal spaces, Tamkang J. Math. 26 (1995), 243-250. (1995) Zbl0835.54026MR1365714
  10. Comfort W.W., Garcia-Ferreira S., Resolvability, a selective survey and some new results, Topology Appl. 74 (1996), 149-167. (1996) Zbl0866.54004MR1425934
  11. Alas O.T., Protasov L.V., Tkachenko M.G., Tkachuk V.V., Wilson R.G., Yaschenko I.V., Almost all submaximal groups are paracompact and σ -discrete, preprint. Zbl0904.54027

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