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.
(previous page) (next page)S
- Spectra (topology) (10 P)
- Surgery theory (31 P)
T
- Theorems in homotopy theory (9 P)
Pages in category "Homotopy theory"
The following 61 pages are in this category, out of 124 total. This list may not reflect recent changes.
(previous page) (next page)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)