Statements (92)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical discipline
|
| gptkbp:branch |
gptkb:Mathematics
|
| gptkbp:concerns |
compactness
convergence connectedness continuous functions homeomorphisms open sets topological spaces |
| gptkbp:hasApplication |
biology
chemistry computer science physics |
| https://www.w3.org/2000/01/rdf-schema#label |
Topology
|
| gptkbp:includes |
gptkb:point-set_topology
gptkb:topology differential topology geometric topology |
| gptkbp:notablePerson |
gptkb:Emmy_Noether
gptkb:Felix_Hausdorff gptkb:Henri_Poincaré gptkb:Leonhard_Euler gptkb:John_Milnor |
| gptkbp:originatedIn |
19th century
|
| gptkbp:relatedConcept |
gptkb:Baire_category_theorem
gptkb:Lindelöf_space gptkb:Stone–Čech_compactification gptkb:Tychonoff_theorem gptkb:Urysohn's_lemma gptkb:discrete_topology gptkb:fundamental_group gptkb:homotopy_equivalence gptkb:indiscrete_topology gptkb:order_topology gptkb:Functor gptkb:Zariski_topology gptkb:butter gptkb:topology gptkb:Euler_characteristic gptkb:fiber gptkb:Alexandrov_topology gptkb:Brouwer_fixed-point_theorem gptkb:Möbius_strip gptkb:Polish_space gptkb:Riemannian_manifold gptkb:category_theory homology fixed-point theorem knot theory Hausdorff space cohomology sheaf immersion CW complex basis (topology) boundary (topology) closed map closure (topology) compact space connected space continuous deformation continuous map covering space deformation retract embedding first-countable space homotopy homotopy type interior (topology) isotopy locally compact space mapping class group mapping cone mapping cylinder metrizable space open map paracompactness principal bundle product topology quotient space retract second-countable space separation axioms spectral sequence subspace topology topological dimension topological equivalence vector bundle |
| gptkbp:studies |
properties of space preserved under continuous deformations
|
| gptkbp:bfsParent |
gptkb:geometry
gptkb:group_of_people |
| gptkbp:bfsLayer |
4
|