locally compact space
topological space such that every point has a neighbourhood with compact closure
local field
non-discrete locally compact topological field
compact space
topological space in which from every open cover of the space, a finite cover can be extracted
homology manifold
locally compact topological space that looks locally like a topological manifold from the point of view of homology theory
long line
locally Euclidean topological space that is not paracompact