Decompositions of looped co--spaces

Authors:
J. Grbić, S. Theriault and J. Wu

Journal:
Proc. Amer. Math. Soc. **141** (2013), 1451-1464

MSC (2010):
Primary 55P35, 55P45; Secondary 05E05, 20C20, 52C35

DOI:
https://doi.org/10.1090/S0002-9939-2012-11417-0

Published electronically:
September 14, 2012

MathSciNet review:
3008891

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove two homotopy decomposition theorems for the loops on simply-connected co--spaces, including a generalization of the Hilton-Milnor 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:
https://doi.org/10.1090/S0002-9939-2012-11417-0

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