Homotopy theory of Γ-spaces, spectra, and bisimplicial sets

1978 ◽  
pp. 80-130 ◽  
Author(s):  
A. K. Bousfield ◽  
E. M. Friedlander
Keyword(s):  
Homotopy Theory

On equivariant disconnected rational homotopy theory

2010 ◽  
Vol 17 (2) ◽  
pp. 229-240
Author(s):  
Marek Golasiński
Keyword(s):  
Homotopy Theory ◽  
Weak Equivalence ◽  
Rational Homotopy Theory ◽  
Rational Homotopy ◽  
Hamiltonian Group ◽  
Simplicial Set ◽  
De Rham

Abstract An equivariant disconnected Sullivan–de Rham equivalence is developed using Kan's result on diagram categories. Given a finite Hamiltonian group G, let X be a G-simplicial set. It is shown that the associated system of algebras indexed by the category 𝒪(G) of a canonical orbit can be “approximated” (up to a weak equivalence) by such a system ℳ X with the properties required by nonequivariant minimal algebras.

scholarly journals A First Approximation to Homotopy Theory

1953 ◽  
Vol 39 (7) ◽  
pp. 655-660 ◽  
Author(s):  
E. H. Spanier ◽  
J. H. C. Whitehead
Keyword(s):  
Homotopy Theory ◽  
First Approximation

scholarly journals Homotopy theory and generalized dimension subgroups

2017 ◽  
Vol 484 ◽  
pp. 224-246 ◽  
Author(s):  
Sergei O. Ivanov ◽  
Roman Mikhailov ◽  
Jie Wu
Keyword(s):  
Homotopy Theory ◽  
Generalized Dimension

Homotopy Theory and Duality

1967 ◽  
Vol 13 (8) ◽  
pp. 317
Author(s):  
S.H. Moss
Keyword(s):  
Homotopy Theory

Homotopy Theory and Duality

1969 ◽  
Vol 53 (384) ◽  
pp. 204
Author(s):  
H. R. Morton ◽  
Peter Hilton
Keyword(s):  
Homotopy Theory
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