Homotopy theory
Topic: Category
From HandWiki - Reading time: 2 min
Here is a list of articles in the Homotopy theory category of the Computing portal that unifies foundations of mathematics and computations using computers. In algebraic topology, homotopy theory is the study of homotopy groups; and more generally of the category of topological spaces and homotopy classes of continuous mappings. At an intuitive level, a homotopy class is a connected component of a function space. The actual definition uses paths of functions.
Subcategories
This category has the following 2 subcategories, out of 2 total.
S
- Surgery theory (25 P)
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Pages in category "Homotopy theory"
The following 129 pages are in this category, out of 129 total.
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2
A
C
E
H
- H-space
- Halperin conjecture
- Highly structured ring spectrum
- Homotopical connectivity
- Homotopy analysis method
- Homotopy associative algebra
- Homotopy category
- Homotopy colimit
- Homotopy colimit and limit
- Homotopy extension property
- Homotopy fiber
- Homotopy group
- Homotopy group with coefficients
- Homotopy groups of spheres
- Homotopy hypothesis
- Homotopy lifting property
- Homotopy method
- Homotopy sphere
- Homotopy type theory
- Hopf fibration
- Hopf invariant
- Hypercovering
P
R
S
- Segal conjecture
- Segal's conjecture
- Seifert–van Kampen theorem
- Seifert–Van Kampen theorem
- Semi-s-cobordism
- Simple homotopy theory
- Simplex category
- Simplicial homotopy
- Simplicial presheaf
- Simplicial set
- Sobolev mapping
- Spanier–Whitehead duality
- Spectrum (topology)
- Sphere spectrum
- Stable homotopy theory
- Stable module category
- Sullivan conjecture
- Biography:Dennis Sullivan
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