Algebras Realized by n Rational Homotopy Types

1991 ◽  
Vol 113 (4) ◽  
pp. 1179 ◽  
Author(s):  
Gregory Lupton
Keyword(s):  
Rational Homotopy ◽  
Homotopy Types

scholarly journals Rigid rational homotopy types

2014 ◽  
Vol 109 (2) ◽  
pp. 523-551
Author(s):  
Christopher Lazda
Keyword(s):  
Rational Homotopy ◽  
Homotopy Types

scholarly journals Unique factorization of rational homotopy types

1980 ◽  
Vol 90 (1) ◽  
pp. 21-26 ◽  
Author(s):  
Richard Body ◽  
Roy Douglas
Keyword(s):  
Rational Homotopy ◽  
Unique Factorization ◽  
Homotopy Types

scholarly journals The Milnor-Moore theorem for $$L_\infty $$ algebras in rational homotopy theory

2021 ◽  
Author(s):  
José Manuel Moreno Fernández
Keyword(s):  
Homotopy Theory ◽  
Homotopy Groups ◽  
Rational Homotopy Theory ◽  
Rational Homotopy ◽  
Massey Products ◽  
Homotopy Types ◽  
Homology Algebra ◽  
Simply Connected ◽  
Space Homology ◽  
Loop Space Homology

AbstractWe give a construction of the universal enveloping $$A_\infty $$ A ∞ algebra of a given $$L_\infty $$ L ∞ algebra, alternative to the already existing versions. As applications, we derive a higher homotopy algebras version of the classical Milnor-Moore theorem. This proposes a new $$A_\infty $$ A ∞ model for simply connected rational homotopy types, and uncovers a relationship between the higher order rational Whitehead products in homotopy groups and the Pontryagin-Massey products in the rational loop space homology algebra.

Regular rational homotopy types

1975 ◽  
Vol 50 (1) ◽  
pp. 89-92 ◽  
Author(s):  
Richard Body
Keyword(s):  
Rational Homotopy ◽  
Homotopy Types

scholarly journals Examples of rational homotopy types of blow-ups

2005 ◽  
Vol 133 (12) ◽  
pp. 3713-3719 ◽  
Author(s):  
Pascal Lambrechts ◽  
Don Stanley
Keyword(s):  
Rational Homotopy ◽  
Homotopy Types
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