homotopy theory, (∞,1)-category theory, homotopy type theory
flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed…
models: topological, simplicial, localic, …
see also algebraic topology
Introductions
Definitions
Paths and cylinders
Homotopy groups
Basic facts
Theorems
equality (definitional, propositional, computational, judgemental, extensional, intensional, decidable)
identity type, equivalence of types, definitional isomorphism
isomorphism, weak equivalence, homotopy equivalence, weak homotopy equivalence, equivalence in an (∞,1)-category
Examples.
Two matrices $A_1,A_2 \in Mat_{n \times m}(R)$ are called matrix equivalent if there exist invertible matrices $P \in GL(n,R)$, $Q \in GL(m,R)$ such that $A_2$ equals the matrix product
matrix congruence?
See also
Last revised on March 15, 2024 at 22:21:08. See the history of this page for a list of all contributions to it.