Glasnik matematički, Vol. 42 No. 1, 2007.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.42.1.09
A cohomological characteritazion of shape dimension for some class of spaces
Jack Segal
; Department of Mathematics, University of Washington, Seattle, WA 98195, USA
Stanisaw Spiez
; Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, P.O.B. 137, 00-950 Warszawa, Poland
Sažetak
It is known that if X is a metric compact space (compactum) with finite shape dimension sd(X) ≠ 2, then sd(X) is equal to the generalized coefficient of cyclicity c[X], equivalently sd(X × S1) = sd(X) + 1. In general, these equalities do not hold in the case of compacta with sd(X) = 2. In this paper we prove that if X is a regularly 1-movable connected pointed space with sd(X) = 2, then c[X] = 2.
Ključne riječi
Shape dimension; regularly movable; cohomological dimension; Stallings-Swan theorem
Hrčak ID:
12887
URI
Datum izdavanja:
12.6.2007.
Posjeta: 847 *