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Universal Compact T1 -Spaces

Published online by Cambridge University Press:  20 November 2018

Adam Mysior
Adam Mysior*
Affiliation:
Institute of Mathematics University of Gdansk Wita Stwosza 57 80-952 Gdansk, Poland
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Abstract

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For every infinite cardinal k we construct a space Ck universal for all compact T1 -spaces of weight ≤ k. It follows, in particular, that there are only 2k topologically different compact T1 -spaces. We show that Cw is universal for all second countable developable T1 -spaces. The existence of closely universal compact T1 -spaces is discussed.

Keywords

54C2554D1054D3054B10Universalclosely universalcompact T1-spacesupercompactdevelopablek-perfect

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992, pp. 261 - 266
Copyright
Copyright © Canadian Mathematical Society 1992 

References

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