Examples of 'homotopy theory' in a sentence
Meaning of "homotopy theory"
Homotopy theory: It is a mathematical concept in algebraic topology that studies continuous deformations of functions and spaces
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- The systematic study of the situation of maps' having a homotopy between them; the study of equivalence classes (called homotopy classes) of maps.
How to use "homotopy theory" in a sentence
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homotopy theory
Rational homotopy theory and differential forms.
This was the origin of simple homotopy theory.
The goal of rational homotopy theory is to understand this category.
This can be formulated in terms of homotopy theory.
Homotopy theory is deeply related to the stability of topological defects.
Reconstructing rational stable motivic homotopy theory.
Her research concerns homotopy theory and homological algebra.
I wish somebody back then had pointed me to the homotopy theory.
This simplification of homotopy theory makes calculations much easier.
This leads to the idea of using multiple groupoid objects in homotopy theory.
They include examples drawing on homotopy theory classifying toposes.
Formality is a property introduced in the seventies in the framework of rational homotopy theory.
Abstract homotopy theory and motivic homotopy theory are also outside the scope.
These new structures are much easier to study and to have a homotopy theory of them.
His research deals with homotopy theory and homology of loop spaces with applications in geometry.
See also
One of their most powerful techniques for sorting shapes is called homotopy theory.
To this end, ideas and techniques from homotopy theory were applied to higher category theory.
Fibrations and cofibrations are examples of dual notions in algebraic topology and homotopy theory.
Abstract, Tame homotopy theory has been introduced by W.G.
This adjunction accounts for much of the importance of loop spaces in stable homotopy theory.
A1 homotopy theory is founded on a category called the A1 homotopy category.
This allowed him to create deep connections between homotopy theory and type theory.
The individual talks will inform us about recent developments about higher structures in homotopy theory.
Category, Homotopy theory.
The Whitehead product is an operation in homotopy theory.
The resulting Adams-Novikov spectral sequence is now a basic tool in stable homotopy theory.
Abstract, This thesis contributes to the homotopy theory of schemes.
Hopkins ' work concentrates on algebraic topology, especially stable homotopy theory.
Whitehead 's definition of CW complexes gave a setting for homotopy theory that became standard.
Much of his recent work has concerned equivariant algebraic K-theory and equivariant homotopy theory.
Along with Fabien Morel, Voevodsky introduced a homotopy theory for schemes.
In mathematics, the Puppe sequence is a construction of homotopy theory.
Masterclass: Equivariant stable homotopy theory.
He was also an architect ( along with Dennis Sullivan ) of rational homotopy theory.
Ravenel 's main area of work is stable homotopy theory.
Frank Adams, leading figure in algebraic topology and homotopy theory.
He founded ( along with Daniel Quillen ) rational homotopy theory.
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Examples of using Homotopy
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Typical definition of homotopy and homotope are as follows
Homotopy colimits in the category of small categories
It is a relative analog of a homotopy equivalence between spaces
Examples of using Theory
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You had a theory about a missing pilot
They are forcing me to continue with string theory
A comprehensive theory of action accompanied the report
