In topology and related branches of mathematics, a Hausdorff space, separated space or T < sub > 2 </ sub > space is a topological space in which distinct points have disjoint neighbourhoods.
In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are kinds of topological spaces.
In topology and related branches of mathematics, a normal space is a topological space X that satisfies Axiom T < sub > 4 </ sub >: every two disjoint closed sets of X have disjoint open neighborhoods.
In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.
In topology and related branches of mathematics, a topological space X is a T < sub > 0 </ sub > space or Kolmogorov space if for every pair of distinct points of X, at least one of them has an open neighborhood not containing the other.
In topology and related branches of mathematics, a T < sub > 1 </ sub > space is a topological space in which, for every pair of distinct points, each has an open neighborhood not containing the other.
In topology and related branches of mathematics, separated sets are pairs of subsets of a given topological space that are related to each other in a certain way.
In topology and related branches of mathematics, a totally disconnected space is a topological space that is maximally disconnected, in the sense that it has no non-trivial connected subsets.
In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms which can be used to define a topological structure on a set.
In topology and related branches of mathematics, an action of a group G on a topological space X is called proper if the map from G × X to X × X taking ( g, x ) to ( gx, x ) is proper, and is called properly discontinuous if in addition G is discrete.
In topology and related branches of mathematics, a totally bounded space is a space that can be covered by finitely many subsets of any fixed " size " ( where the meaning of " size " depends on the given context ).
0.035 seconds.