A function space triple of a compact polyhedron into an open set in Euclidean space
Author:
Katsuro Sakai
Journal:
Proc. Amer. Math. Soc. 108 (1990), 547-555
MSC:
Primary 57N20; Secondary 54C35, 58B05, 58D15
DOI:
https://doi.org/10.1090/S0002-9939-1990-0991709-3
MathSciNet review:
991709
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Let be a non-zero dimensional compact Euclidean polyhedron and
an open set in Euclidean space
. The spaces of (continuous) maps, Lipschitz maps and PL maps from
to
are denoted by
,
and
, respectively. We prove that the triple




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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1990-0991709-3
Keywords:
Space of (continuous) maps,
space of Lipschitz maps,
space of PL maps,
polyhedron,
convex set,
-manifold triple
Article copyright:
© Copyright 1990
American Mathematical Society