Vol. 30, No. 2, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
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
Vol. 324: 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
Conditions for a mapping to have the slicing structure property

Gerald S. Ungar

Vol. 30 (1969), No. 2, 549–553
Abstract

Let p : E B be a fibering in the sense of Serre. As is well known the fibering need not be a fibering in any stronger sense. However it is expected that if certain conditions are placed on E,p or B then p might be a fibration in a stronger sense. This paper gives such conditions.

The main result of this paper is:

Theorem 1. Let p be an n-regular perfect map from a complete metric space (E,d) onto a locally equiconnected space B. If dimE ×B n then p has the slicing structure property (in particular p is a Hurewicz fibration).

The following definitions will be needed.

Mathematical Subject Classification
Primary: 55.50
Milestones
Received: 30 October 1968
Published: 1 August 1969
Authors
Gerald S. Ungar