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Surjective simplicial inverse systems

N. Uglešić
B. Červar

Puni tekst: engleski, pdf (162 KB) str. 51-60 preuzimanja: 376* citiraj
APA 6th Edition
Uglešić, N. i Červar, B. (2000). Surjective simplicial inverse systems. Mathematical Communications, 5 (1), 51-60. Preuzeto s https://hrcak.srce.hr/863
MLA 8th Edition
Uglešić, N. i B. Červar. "Surjective simplicial inverse systems." Mathematical Communications, vol. 5, br. 1, 2000, str. 51-60. https://hrcak.srce.hr/863. Citirano 08.12.2021.
Chicago 17th Edition
Uglešić, N. i B. Červar. "Surjective simplicial inverse systems." Mathematical Communications 5, br. 1 (2000): 51-60. https://hrcak.srce.hr/863
Harvard
Uglešić, N., i Červar, B. (2000). 'Surjective simplicial inverse systems', Mathematical Communications, 5(1), str. 51-60. Preuzeto s: https://hrcak.srce.hr/863 (Datum pristupa: 08.12.2021.)
Vancouver
Uglešić N, Červar B. Surjective simplicial inverse systems. Mathematical Communications [Internet]. 2000 [pristupljeno 08.12.2021.];5(1):51-60. Dostupno na: https://hrcak.srce.hr/863
IEEE
N. Uglešić i B. Červar, "Surjective simplicial inverse systems", Mathematical Communications, vol.5, br. 1, str. 51-60, 2000. [Online]. Dostupno na: https://hrcak.srce.hr/863. [Citirano: 08.12.2021.]

Sažetak
Every topologically complete space embeds as a deformation retract in a topologically complete space which is the limit of a polyhedral inverse system with surjective and simplicial (fixed triangulations) bonding mappings. Moreover, the corresponding homotopy category and its full subcategory are equivalent. The same also holds for several subclasses of the class of all topologically complete spaces: paracompact spaces, Lindelöf spaces, countably compact spaces, strongly paracompact spaces, paracompact (σ-compact) locally compact spaces, compact Hausdorff spaces.

Ključne riječi
Topologically complete space; (strongly) paracompact (locally compact) space; Lindelöf space; normal covering; nerve; polyhedron; simplicial mapping; canonical mapping; proper mapping; inverse system; limit; resolution

Hrčak ID: 863

URI
https://hrcak.srce.hr/863

Posjeta: 589 *