scholarly journals The rational homotopy of Thom spaces and the smoothing of isolated singularities

1985 ◽  
Vol 35 (3) ◽  
pp. 119-135 ◽  
Author(s):  
Stefan Papadima
Keyword(s):  
Rational Homotopy ◽  
Isolated Singularities ◽  
Thom Spaces

Weight decompositions of Thom spaces of vector bundles in rational homotopy

2019 ◽  
Vol 15 (1) ◽  
pp. 1-26
Author(s):  
Urtzi Buijs ◽  
Federico Cantero Morán ◽  
Joana Cirici
Keyword(s):  
Vector Bundles ◽  
Rational Homotopy ◽  
Thom Spaces

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.

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