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Calculate homotopy groups of $\mathbb{Z}_2$-equivariant loop spaces of "complex" topological spaces

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#homotopy-theory #stable-homotopy-theory #higher-homotopy-groups #equivariant-maps #equivariant-topology
51
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Definition of Cartan Model - Equivariant forms

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#algebraic-topology #equivariant-cohomology #equivariant-topology
48
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When are homeomorphic $G$-spaces isomorphic?

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#general-topology #group-actions #equivariant-topology
57
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Chain complex of symmetric powers

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#algebraic-topology #equivariant-topology
49
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Transport of group actions via homeomorphisms

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#general-topology #group-actions #equivariant-maps #equivariant-topology
239
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Is every CW-complex a $G$-CW-complex for $G$ finite?

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#algebraic-topology #finite-groups #homotopy-theory #cw-complexes #equivariant-topology
41
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Transfer map for the Mackey functor $\underline{\pi}_n^H$.

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#algebraic-topology #homotopy-theory #stable-homotopy-theory #equivariant-topology
76
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Find $\mathscr X$ such that $\operatorname{Spaces}/BG$ $\sim$ $\operatorname{Spaces}^G$ $\sim$ $\mathscr X(\Omega G)$ for any $G$

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#homotopy-theory #topological-groups #classifying-spaces #loop-spaces #equivariant-topology
136
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Equivariant homotopy vs homotopy of fixed points

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#algebraic-topology #equivariant-maps #equivariant-topology
466
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Is a fixed point set of a compact group action on a compact space also compact?

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#general-topology #compactness #group-actions #fixed-points #equivariant-topology
194
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A misunderstanding about Sullivan's conjecture

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#homotopy-theory #p-adic-number-theory #equivariant-cohomology #equivariant-topology
98
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Homotopic equivariant maps

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#algebraic-topology #equivariant-topology
574
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Is Tu's new 'Introductory Lectures on Equivariant Cohomology' an effective introduction to equivariant topology?

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#algebraic-topology #reference-request #book-recommendation #equivariant-cohomology #equivariant-topology
207
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Quotient of 3-torus by $\mathbb{Z}/3\mathbb{Z}$ action

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#group-actions #geometric-topology #orbifolds #equivariant-topology
83
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Equivariant maps up to homotopy

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#algebraic-topology #group-actions #equivariant-maps #equivariant-cohomology #equivariant-topology

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