Glasnik matematički, Vol. 52 No. 1, 2017.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.52.1.13
Generalized suspension theorem in extension theory
Leonard R. Rubin
orcid.org/0000-0002-1108-0267
; Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA
Sažetak
A. Dranishnikov proved that for each CW-complex K and metrizable compactum X with Xτ K, it is true that (X × I)τ(Σ K). Here, Σ K means the suspension of K in the CW-category, and by X τ K we mean that K is an absolute extensor for X. We are going to generalize this result so that X could be either a stratifiable space or a compact Hausdorff space. Since all metrizable spaces are stratifiable, then our result generalizes Dranishnikov's.
Ključne riječi
Absolute co-extensor; absolute extensor; absolute neighborhood extensor; CW-complex; extension theory; paracompact, shrinking a cover; stratifiable space; stratification; suspension
Hrčak ID:
183131
URI
Datum izdavanja:
21.6.2017.
Posjeta: 870 *