Decompositions of looped cospaces
Authors:
J. Grbić, S. Theriault and J. Wu
Journal:
Proc. Amer. Math. Soc. 141 (2013), 14511464
MSC (2010):
Primary 55P35, 55P45; Secondary 05E05, 20C20, 52C35
Published electronically:
September 14, 2012
MathSciNet review:
3008891
Fulltext PDF
Abstract 
References 
Similar Articles 
Additional Information
Abstract: We prove two homotopy decomposition theorems for the loops on simplyconnected cospaces, including a generalization of the HiltonMilnor Theorem. Several examples are given.
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Additional Information
J. Grbić
Affiliation:
School of Mathematics, University of Manchester, Manchester M13 9PL, United Kingdom
Email:
jelena.grbic@manchester.ac.uk
S. Theriault
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
Email:
s.theriault@maths.abdn.ac.uk
J. Wu
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore
Email:
matwujie@math.nus.edu.sg
DOI:
http://dx.doi.org/10.1090/S000299392012114170
Keywords:
Homotopy decomposition,
loop space,
co$H$space
Received by editor(s):
March 1, 2011
Received by editor(s) in revised form:
June 17, 2011, June 24, 2011, July 12, 2011, and August 23, 2011
Published electronically:
September 14, 2012
Additional Notes:
The first author’s research was supported in part by EPSRC grant EP/F004079/1.
The third author’s research was supported in part by the Academic Research Fund of the National University of Singapore.
Communicated by:
Brooke Shipley
Article copyright:
© Copyright 2012
American Mathematical Society
