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Tameness and Movability in Proper Shape Theory
Author(s) -
ČERIN ZVONKO,
GIANELLA GIAN MARIO
Publication year - 1996
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1996.tb36797.x
Subject(s) - infinity , pure mathematics , space (punctuation) , mathematics , topological space , topology (electrical circuits) , computer science , mathematical analysis , combinatorics , operating system
We study properly M B C ‐tame and properly M B ‐movable spaces, where B and C denote classes of topological spaces. Both proper tameness and proper movability are invariants of a recently invented first author's proper shape theory and are described by the use of proper multivalued functions. The first is analogous to L. Siebenmann's notion of a tame at infinity space while the second is modelled on Borsuk's concept of movability in shape theory.