 

Michael Barr, John F. Kennison, and R. Raphael
Local extension of maps


Published: 
June 2, 2009

Keywords: 
Extending realvalued functions 
Subject: 
18A20, 54C45, 54B30 


Abstract
We continue our investigations into absolute CRepic spaces.
Given a continuous function f:X→ Y, with X absolute CRepic,
we search for
conditions which imply that Y is also absolute CRepic.
We are particularly
interested in the cases when X is a dense subset of Y and when f
is a quotient mapping. To answer these questions, we consider issues of
local extension of continuous functions. The results on this
question are of independent interest.


Acknowledgements
The first and third authors would like to thank NSERC of Canada for its support of this research. We would all like to thank McGill and Concordia Universities for partial support of the middle author's visits to Montreal.


Author information
Michael Barr:
Department of Mathematics and Statistics, McGill University, Montreal, QC, H3A 2K6
barr@math.mcgill.ca
John F. Kennison:
Department of Mathematics and Computer Science, Clark University, Worcester, MA 01610
jkennison@clarku.edu
R. Raphael:
Department of Mathematics and Statistics, Concordia University, Montreal, QC, H4B 1R6
raphael@alcor.concordia.ca

