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Homotopy monomorphisms and homotopy pushouts

โœ Scribed by Michael Mather


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
228 KB
Volume
81
Category
Article
ISSN
0166-8641

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โœฆ Synopsis


An example shows that a homotopy pushout of a homotopy monomorphism need not be a homotopy monomorphism.


๐Ÿ“œ SIMILAR VOLUMES


Homotopy monomorphisms and homotopy push
โœ Sonia Ghorbal ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 164 KB

In this paper we prove that a homotopy pushout of a homotopy monomorphism is not a homotopy monomorphism.

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In this note, we prove that semilocalization of spaces preserves homotopy monomorphisms and homotopy epimorphisms which induce an isomorphism in fundamental groups, and also prove that homotopy epimorphisms preserve p-nilpotency for every prime or zero p.