Generalized homotopy excision theorems modulo a Serre class of nilpotent groups

Graham H. Toomer

Vol. 73 (1977), No. 1, 233–245

DOI: 10.2140/pjm.1977.73.233

Abstract

We combine two well known homotopy equivalences of Ganea and some recent work on nilpotent spaces to give a common procedure for deriving the connectivity of generalized excision maps, given that the spaces involved are nilpotent rather than simply connected.

Mathematical Subject Classification

Primary: 55E99, 55E99

Milestones

Received: 9 February 1977

Revised: 9 May 1977

Published: 1 November 1977