Equivariant CW-complexes and the orbit category Journal Articles

abstract

• We give a general framework for studying G-CW complexes via the orbit category. As an application we show that the symmetric group G=S_5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy subgroups.

authors

• Hambleton, Ian
• Pamuk, Semra
• Yalçın, Ergün

status

• published 

publication date

• April 24, 2013

has subject area

• 0101 Pure Mathematics (FoR)
• General Mathematics (Science Metrix)

published in

• Commentarii Mathematici Helvetici  Journal

keywords

• COHOMOLOGY
• Finite group actions on spheres
• INDUCTION
• Mathematics
• Physical Sciences
• REPRESENTATIONS
• Science & Technology
• chain complexes
• orbit category

Digital Object Identifier (DOI)

• 10.4171/cmh/289

start page

• 369

end page

• 425

volume

• 88

issue

• 2