Topological spaces

GPTKB entity

Statements (60)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:definedIn set and topology
gptkbp:field gptkb:topology
gptkbp:generalizes gptkb:Euclidean_spaces
metric spaces
gptkbp:hasApplication gptkb:algebraic_geometry
computer science
differential geometry
dynamical systems
physics
gptkbp:hasProperty gptkb:Hausdorff_property
compactness
convergence
connectedness
continuous functions
open sets
product topology
subspace topology
basis
quotient topology
closed sets
https://www.w3.org/2000/01/rdf-schema#label Topological spaces
gptkbp:introducedIn early 20th century
gptkbp:relatedTo gptkb:Lindelöf_space
gptkb:discrete_topology
gptkb:indiscrete_topology
gptkb:Zariski_topology
gptkb:neighborhood
gptkb:T1_space
gptkb:T2_space
gptkb:co-countable_topology
gptkb:cofinite_topology
homeomorphism
limit point
interior
closed map
compact space
connected space
continuous map
first-countable space
locally compact space
metrizable space
open map
second-countable space
separation axioms
T0 space
paracompact space
closure
boundary
normal space
regular space
path-connected space
gptkbp:studiedBy topologists
gptkbp:usedIn gptkb:geometry
gptkb:mathematics
gptkb:topology
analysis
functional analysis
gptkbp:bfsParent gptkb:K-theory
gptkbp:bfsLayer 5