By J. P. May

This quantity introduces equivariant homotopy, homology, and cohomology thought, besides a variety of comparable themes in sleek algebraic topology. It explains the most principles in the back of the most notable contemporary advances within the topic. The booklet starts with a improvement of the equivariant algebraic topology of areas culminating in a dialogue of the Sullivan conjecture that emphasizes its dating with classical Smith thought. It then introduces equivariant solid homotopy idea, the equivariant solid homotopy classification, and crucial examples of equivariant cohomology theories. the fundamental equipment that's had to make critical use of equivariant strong homotopy concept is gifted subsequent, in addition to discussions of the Segal conjecture and generalized Tate cohomology. ultimately, the publication supplies an creation to ``brave new algebra", the examine of point-set point algebraic constructions on spectra and its equivariant functions. Emphasis is put on equivariant complicated cobordism, and comparable effects on that subject are provided intimately. positive aspects: Introduces a few of the primary principles and ideas of contemporary algebraic topology. provides accomplished fabric now not present in the other e-book at the topic. presents a coherent review of many components of present curiosity in algebraic topology. Surveys loads of fabric, explaining major principles with no getting slowed down in information.

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