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Rating: Summary: best introduction to equivariant topology Review: As the title of my review suggests, this IS where one should start learning about the subject. Other books which could then be tackled (in any order, really) are: Bredon's classic, tom Dieck (especially if you're wondering about the connections with representation theory and stable homotopy), Guillemin et al. on equivariant de Rham theory (with a view toward applications), Allday+Puppe and Hsiang on hard-core cohomological methods, among others. Note that Borel's seminar on transformation groups is a little out of date, but still worth looking into. Much more recently, P. May compiled quite a few very interesting articles addressing the equivariant stable homotopy category, attributing them to R. Piacenza.There are many other avenues one can pursue after reading Kawakubo. I've only listed a few. Good luck :o)
Rating: Summary: best introduction to equivariant topology Review: As the title of my review suggests, this IS where one should start learning about the subject. Other books which could then be tackled (in any order, really) are: Bredon's classic, tom Dieck (especially if you're wondering about the connections with representation theory and stable homotopy), Guillemin et al. on equivariant de Rham theory (with a view toward applications), Allday+Puppe and Hsiang on hard-core cohomological methods, among others. Note that Borel's seminar on transformation groups is a little out of date, but still worth looking into. Much more recently, P. May compiled quite a few very interesting articles addressing the equivariant stable homotopy category, attributing them to R. Piacenza. There are many other avenues one can pursue after reading Kawakubo. I've only listed a few. Good luck :o)
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