Equivariant Homotopy Theory

G-spaces, Bredon cohomology, and equivariant stable categories.


frontier tier

Equivariant Homotopy Theory. G-spaces, Bredon cohomology, and equivariant stable categories.

Foundations and canonical references

The standard treatments of equivariant homotopy theory approach the subject from complementary angles. Lewis, Equivariant Stable Homotopy Theory (1986) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.

Open methodological questions for equivariant homotopy theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 1986
    Equivariant Stable Homotopy Theory
    lewis-1986, may-1986, steinberger-1986

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