VariousWords beta
Related Terms:
fiber bundle
algebraic topology
zariski topology
compactify
direct product
classifying space
wedge sum
scheme
kolmogorov space
betti number
manifold
disjoint union
solid torus
topological field
set
smash product
torus
subbasis
lindelöf space
path
continuous function
product topology
homology
open set
topological property
convergent
meagre
mathematical structure
topological spaces
presheaf
disjoint union topology
homotopy
compacton
measurable function
eilenberg maclane space
size theory
metrizable
top dimensional
direct sum
long line
pseudomanifold
graph
accumulation point
limit point
base
discrete
dunce cap
cofibration
condensation point
topology
compactum
leafspace
dunce hat
quotient map
polish space
neighborhood
grothendieck topology
antispace
borel σ algebra
partition of unity
phase space
hausdorff space
bolzano weierstrass property
orbifold
baire space
poincaré space
cohomology
handle
second countable
k theory
hyperbolic plane
meager
mapping class group
fundamental group
annulus
spectrum
sober space
connected space
homeomorphism
metrization
covering space
open
separable
suspension
compactification
topological group
retraction
valuation
underlying set
closed curve
Definitions:
Noun
mathematical space
topological space
Definition: (mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional"
Definition: An ordered pair (X, τ), where X is a set and τ, called the topology, is a collection of subsets of X which satisfies certain axioms and whose elements are called the open sets (or alternatively, for a different set of axioms, the closed sets);, (loosely) the set X.