Vol. 24, No. 2, 1968

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Some applications of a property of the functor Ef

Myles Tierney

Vol. 24 (1968), No. 2, 401–411
Abstract

The functors mapping cone, Cf, and its dual, Ef, whose definitions will be recalled below, seem to have been introduced by Puppe and Nomura in 1958 and 1960 respectively. There, various basic properties of these functors were established. Here we shall prove a ‘3 × 3 lemma” for the functor Ef (with an obvious dual for Cf). This will be applied in §3 to the problem of determining a Postnikov system for Ef in terms of f, and to show that any space having a Postnikov decomposition, and whose homotopy is finitely generated, has a decomposition in which the only K(π,n)’s appearing have π a finitely generated free abelian group.

Mathematical Subject Classification
Primary: 55.50
Milestones
Received: 1 June 1966
Published: 1 February 1968
Authors
Myles Tierney