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Nonseparable C(K)-spaces can be twisted when K is a finite height compact.

Authors :
Castillo, Jesús M.F.
Source :
Topology & Its Applications. Feb2016, Vol. 198, p107-116. 10p.
Publication Year :
2016

Abstract

We show that, given a nonmetrizable compact space K having ω -derived set empty, there always exist nontrivial exact sequences 0 → c 0 → E → C ( K ) → 0 . This partially solves a problem posed in several papers: Is Ext ( C ( K ) , c 0 ) ≠ 0 for K a nonmetrizable compact set? [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FINITE fields
*COMPACT groups
*EXISTENCE theorems
*PROBLEM solving
*MATHEMATICAL sequences

Details

Language :
English
ISSN :
01668641
Volume :
198
Database :
Academic Search Index
Journal :
Topology & Its Applications
Publication Type :
Academic Journal
Accession number :
111565515
Full Text :
https://doi.org/10.1016/j.topol.2015.11.009
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