topological manifold
topological space (which may also be a separated space) which locally resembles real n-dimensional space
invariant manifold
under the action of dynamical system
real coordinate space
space formed by the ''n''-tuples of real numbers (duplicate of Q17295)
surface
two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space
genus g surface
smooth closed surface with g holes
homology sphere
topological manifold whose homology coincides with that of a sphere, i.e. trivial except in the top and bottom degrees, where it has a single generator
Whitehead manifold
open 3-manifold that is contractible, but not homeomorphic to R³
closed manifold
compact manifold without boundary
algebraic manifold
algebraic variety whose set of closed points naturally forms a manifold