A TOM DIECK THEOREM FOR STRONG SHAPE-THEORY

Authors
GUNTHER B
Citation
B. Gunther, A TOM DIECK THEOREM FOR STRONG SHAPE-THEORY, Transactions of the American Mathematical Society, 338(2), 1993, pp. 857-870
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
338
Issue
2
Year of publication
1993
Pages
857 - 870
Database
ISI
SICI code
0002-9947(1993)338:2<857:ATDTFS>2.0.ZU;2-L
Abstract
We consider an appropriate class of locally finite closed coverings of spaces, for which the strong shape of the elements of the covering an d of their intersections determine the strong shape of the whole space . Conclusions concerning shape dimension and spaces having the strong shape of CW-complexes are drawn, and a Leray spectral sequence for str ong homology is given.