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https://doi.org/10.3336/gm.52.1.13

Generalized suspension theorem in extension theory

Leonard R. Rubin   ORCID icon orcid.org/0000-0002-1108-0267 ; Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA

Puni tekst: engleski, pdf (93 KB) str. 179-183 preuzimanja: 179* citiraj
APA 6th Edition
Rubin, L.R. (2017). Generalized suspension theorem in extension theory. Glasnik matematički, 52 (1), 179-183. https://doi.org/10.3336/gm.52.1.13
MLA 8th Edition
Rubin, Leonard R.. "Generalized suspension theorem in extension theory." Glasnik matematički, vol. 52, br. 1, 2017, str. 179-183. https://doi.org/10.3336/gm.52.1.13. Citirano 22.09.2020.
Chicago 17th Edition
Rubin, Leonard R.. "Generalized suspension theorem in extension theory." Glasnik matematički 52, br. 1 (2017): 179-183. https://doi.org/10.3336/gm.52.1.13
Harvard
Rubin, L.R. (2017). 'Generalized suspension theorem in extension theory', Glasnik matematički, 52(1), str. 179-183. https://doi.org/10.3336/gm.52.1.13
Vancouver
Rubin LR. Generalized suspension theorem in extension theory. Glasnik matematički [Internet]. 2017 [pristupljeno 22.09.2020.];52(1):179-183. https://doi.org/10.3336/gm.52.1.13
IEEE
L.R. Rubin, "Generalized suspension theorem in extension theory", Glasnik matematički, vol.52, br. 1, str. 179-183, 2017. [Online]. https://doi.org/10.3336/gm.52.1.13

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
https://hrcak.srce.hr/183131

Posjeta: 277 *