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Semilocalization of epimorphisms and monomorphisms in homotopy theory

✍ Scribed by Wenhuai Shen; Zaisi Zuo

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 533 KB
Volume: 88
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00173-9

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✦ Synopsis

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.

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