Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF02765885
Title: Fibrations with Hopfian properties
Authors: Berrick, A.J. 
Issue Date: Dec-1989
Citation: Berrick, A.J. (1989-12). Fibrations with Hopfian properties. Israel Journal of Mathematics 66 (1-3) : 41-53. ScholarBank@NUS Repository. https://doi.org/10.1007/BF02765885
Abstract: This study explores the homotopy-theoretic meeting-point of topics in differential topology, combinatorial group theory and algebraic K-theory. The first two are due to H. Hopf and date from around 1930. The third arose in the author's characterisation of plus-constructive fibrations. Let F ( → ί )E →B be a fibration such that i induces an isomorphism of homology with trivial integer coefficients; what is the effect of i on fundamental groups? In particular, when one passes to hypoabelianisations by factoring out perfect radicals, does i induce an epimorphism? Numerous conditions are determined which force an affirmative answer. On the other hand, negative examples of a non-finitary nature are also provided. This leaves the question open in the finitely generated case, where it forms a homological version of the dual to Hopf's original, famous question in group theory. © 1989 The Weizmann Science Press of Israel.
Source Title: Israel Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103268
ISSN: 00212172
DOI: 10.1007/BF02765885
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

1
checked on May 18, 2018

WEB OF SCIENCETM
Citations

1
checked on Mar 26, 2018

Page view(s)

20
checked on Mar 11, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.