JP Journal of Geometry and Topology
Volume 2, Issue 2, Pages 117 - 140
(July 2002)
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EXTENDING OF SELECTIONS VIA HOMOTOPIES
Valentin Gutev (South Africa)
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of a space X
with the closed unit interval
For a class of such mappings j and nice embedded
subsets A of X, we show that the
“end-point” mappings
and
have the same selection extension
properties with respect to those pairs of selections for
and
which are homotopic by a selection
for
As a result, we improve known
selection theorems and obtain new ones.
