Topology

GPTKB entity

Statements (91)
Predicate Object
gptkbp:instanceOf gptkb: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
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 gptkb: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:CW_complex
gptkb:mapping_class_group
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
gptkb:covering_space
gptkb:principal_bundle
gptkb:quotient_space
gptkb:sheaf
gptkb:spectral_sequence
gptkb:vector_bundle
homology
fixed-point theorem
knot theory
Hausdorff space
cohomology
immersion
basis (topology)
boundary (topology)
closed map
closure (topology)
compact space
connected space
continuous deformation
continuous map
deformation retract
embedding
first-countable space
homotopy
homotopy type
interior (topology)
isotopy
locally compact space
mapping cone
mapping cylinder
metrizable space
open map
paracompactness
product topology
retract
second-countable space
separation axioms
subspace topology
topological dimension
topological equivalence
gptkbp:studies properties of space preserved under continuous deformations
gptkbp:bfsParent gptkb:Leonhard_Euler
gptkbp:bfsLayer 5
https://www.w3.org/2000/01/rdf-schema#label Topology