Related papers: Rational Homotopy Theory

This survey contains the main results in rational homotopy, from the beginning to the most recent ones. It makes the status of the art, gives a short presentation of some areas where rational homotopy has been used, and contains a lot of…

In this paper we introduce and study motives for rational homotopy types.

These notes contain a brief introduction to rational homotopy theory: its model category foundations, the Sullivan model and interactions with the theory of local commutative rings.

This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications.

Course material for mathematical methods of theoretical physics intended for an undergraduate audience.

We prove a result that enables us to calculate the rational homotopy of a wide class of spaces by the theory of minimal models.

The purpose of this survey article is to introduce the reader to a connection between Logic, Geometry, and Algebra which has recently come to light in the form of an interpretation of the constructive type theory of Martin-L\"of into…

A homotopy theoretic description is given for trivial unit conjecture in the group ring ZG.

A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.

This is an introduction to type theory, synthetic topology, and homotopy type theory from a category-theoretic and topological point of view, written as a chapter for the book "New Spaces for Mathematics and Physics" (ed. Gabriel Catren and…

We obtain explicit formulas for the rational homotopy groups of generalised symmetric spaces, i.e., the homogeneous spaces for which the isotropy subgroup appears as the fixed point group of some finite order automorphism of the group. In…

This is a survey on coarse geometry with an emphasis on coarse homology theories.

In this text we expose basic cases of some fundamental ideas and methods of topology. Namely, of homotopy, degree, fundamental group, covering, Whitehead invariant, etc. This is done by considering the elementary example: closed polygonal…

The aim of this paper is to give an introduction to our axiomatic logical analysis of relativity theories.

We survey some results on real rational surfaces focused on their topology and their birational geometry.

We give an elementary introduction to our papers relating the geometry of rational homogeneous varieties to representation theory. We also describe related work and recent progress.

This is an introductory article to the theory of multiple gaps.

We give a survey of the analytic theory of matrix orthogonal polynomials.

This paper is a survey on Deduction modulo theory

This is a detailed introductory survey of the cohomological dimension theory of compact metric spaces.