Category:Homotopy theory
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 4 subcategories, out of 4 total.
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Pages in category "Homotopy theory"
The following 113 pages are in this category, out of 123 total. This list may not reflect recent changes.
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E
H
- H-space
- Halperin conjecture
- Homotopical connectivity
- Homotopy analysis method
- Homotopy associative algebra
- Homotopy category
- 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 sphere
- Homotopy type theory
- Hopf fibration
- Hopf invariant
- Hypercovering
P
S
- Section (fiber bundle)
- Segal's conjecture
- Seifert–Van Kampen theorem
- Semi-locally simply connected
- Semi-s-cobordism
- Shape theory (mathematics)
- Simple homotopy theory
- Simple-homotopy equivalence
- Simplex category
- Simplicial homotopy
- Simplicial presheaf
- Simplicial set
- Simplicial space
- Smash product
- Sobolev mapping
- Spanier–Whitehead duality
- Spectrum (topology)
- Stable homotopy theory
- Stable module category
- String group
- Stunted projective space
- Sullivan conjecture
- Dennis Sullivan
- Suspension (topology)