scholarly journals Rational homotopy theory of automorphisms of manifolds

2020 ◽  
Vol 224 (1) ◽  
pp. 67-185 ◽  
Author(s):  
Alexander Berglund ◽  
Ib Madsen
Keyword(s):  
Homotopy Theory ◽  
Rational Homotopy Theory ◽  
Rational Homotopy

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.

Real and Rational Homotopy Theory

1995 ◽  
pp. 867-915 ◽  
Author(s):  
Edgar H. Brown ◽  
Robert H. Szczarba
Keyword(s):  
Homotopy Theory ◽  
Rational Homotopy Theory ◽  
Rational Homotopy
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