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Mathematical Communications, Vol. 5 No. 1, 2000.

Original scientific paper

Surjective simplicial inverse systems

N. Uglešić
B. Červar

Full text: english pdf 162 Kb

page 51-60

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Abstract

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.

Keywords

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

Publication date:

20.6.2000.

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