Disconnected rational homotopy theory

Lazarev, Andrey and Markl, Martin (2015) Disconnected rational homotopy theory. Advances in Mathematics, 283. pp. 303-361. ISSN 0001-8708

[thumbnail of discon]
PDF (discon)
discon.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial-NoDerivs.

Download (325kB)


We construct two algebraic versions of homotopy theory of rational disconnected topological spaces, one based on differential graded commutative associative algebras and the other one on complete differential graded Lie algebras. As an application of the developed technology we obtain results on the structure of Maurer–Cartan spaces of complete differential graded Lie algebras.

Item Type:
Journal Article
Journal or Publication Title:
Advances in Mathematics
Additional Information:
This is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics, 283, 2015 DOI: 10.1016/j.aim.2015.07.009
Uncontrolled Keywords:
?? general mathematicsmathematics(all) ??
ID Code:
Deposited By:
Deposited On:
28 Jul 2015 12:34
Last Modified:
17 Jul 2024 23:34