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 3 subcategories, out of 4 total.
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- Spectra (topology) (10 P)
- Surgery theory (31 P)
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- Theorems in homotopy theory (9 P)
Pages in category "Homotopy theory"
The following 50 pages are in this category, out of 123 total. This list may not reflect recent changes.
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- 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)