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A subset of a topological space which is compact with respect to the relative topology.

A subset A subset= X of a topological space X is said to be disconnected if it is not connected.

The kernel of a linear transformation T:V-->W between vector spaces is its null space.

A nonsimply connected 3-manifold, also called a dodecahedral space.

The hypothesis is that, for X is a measure space, f_n(x)->f(x) for each x in X, as n->infty. The hypothesis may be weakened to almost everywhere convergence.

A local-ringed space which is locally isomorphic to an affine scheme.

A continuous group G which has the topology of a T2-space is a topological group. The simplest example is the group of real numbers under addition. The homeomorphism group of ...

The low-level language of topology, which is not really considered a separate "branch" of topology. Point-set topology, also called set-theoretic topology or general ...

A subset M of a Hilbert space H is a linear manifold if it is closed under addition of vectors and scalar multiplication.

Aleph-1 is the set theory symbol aleph_1 for the smallest infinite set larger than aleph_0 (Aleph-0), which in turn is equal to the cardinal number of the set of countable ...