result in topology
C10468
concept
A result in topology is a proven theorem or proposition that describes how topological properties and structures behave or relate under specified conditions.
All labels observed (10)
| Label | Occurrences |
|---|---|
| result in algebraic topology | 3 |
| result in combinatorial topology | 3 |
| result in geometric topology | 3 |
| result in topology canonical | 3 |
| result in 3-manifold topology | 2 |
| result in differential topology | 2 |
| combinatorial topological result | 1 |
| result in general topology | 1 |
| topological combinatorics result | 1 |
| topology theorem | 1 |
Instances (20)
| Instance | Via concept surface |
|---|---|
| Sperner's lemma | result in combinatorial topology |
| Poincaré lemma | result in algebraic topology |
| Poincaré–Birkhoff fixed-point theorem | — |
| Dehn lemma | result in 3-manifold topology |
| Milnor–Wood inequality | result in geometric topology |
| Jordan curve theorem | topology theorem |
| Ky Fan’s lemma | combinatorial topological result |
| Steinhaus chessboard theorem | result in geometric topology |
| Smale’s paradox | result in differential topology |
| Tychonoff theorem for products of compact spaces | result in general topology |
| Knaster–Kuratowski–Mazurkiewicz lemma | result in combinatorial topology |
| Euler’s polyhedron formula | — |
| Scarf’s lemma | result in combinatorial topology |
| Tucker’s lemma | topological combinatorics result |
| Künneth formula | result in algebraic topology |
| Bott periodicity | result in algebraic topology |
| Mostow rigidity theorem | result in geometric topology |
| Thurston hyperbolization theorem | result in 3-manifold topology |
| Morse lemma | result in differential topology |
| Stone representation theorem | — |