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EXTENSION OF CONTINUOUS MAPPINGS AND H1-RETRACTS
Published online by Cambridge University Press: 01 December 2008
Abstract
We prove that any continuous mapping f:E→Y on a completely metrizable subspace E of a perfect paracompact space X can be extended to a Lebesgue class one mapping g:X→Y (that is, for every open set V in Y the preimage g−1(V ) is an Fσ-set in X) with values in an arbitrary topological space Y.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 78 , Issue 3 , December 2008 , pp. 497 - 506
- Copyright
- Copyright © 2009 Australian Mathematical Society
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