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A note on feebly continuous functions
- Source :
-
Topology & Its Applications . Oct2009, Vol. 156 Issue 16, p2629-2631. 3p. - Publication Year :
- 2009
-
Abstract
- Abstract: A function f from to is said to be feebly continuous at a point if there exist sequences and with . Dales asked if every function has a point of feeble continuity. Our aim in this short note is to show that (assuming the Continuum Hypothesis) the answer is ‘no’. Dales also asked what happens for functions taking only two values: we show that in this case the answer is ‘yes’. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 156
- Issue :
- 16
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 44132490
- Full Text :
- https://doi.org/10.1016/j.topol.2009.04.009