compact space
topological space in which from every open cover of the space, a finite cover can be extracted
ellipsoid
quadric surface that looks like a deformed sphere
random compact set
compact set-valued random variable useful in study of dynamical systems
orthogonal group
mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point
extended real number line
extension of the reals by +∞ and −∞
continuum
nonempty compact connected metric space in point-set topology
Stone space
type of space in topology (branch of mathematics)
compact group
topological group with compact topology
solid figure
three-dimensional geometric body
Hilbert cube
infinite-dimensional cube with a compact topology
spectral space
topological space isomorphic to the prime spectrum of a commutative ring
special orthogonal group
connected component of O(n) containing the identity
compact Riemann surface
complex manifold of dimension one that is a compact space
projectively extended real line
extension of the set of the real numbers by a point denoted ∞
Mazur manifold
4-dimensional contractible smooth manifold with boundary that is not diffeomorphic to the 4-ball
Mazur manifold
4-dimensional contractible smooth manifold with boundary that is not diffeomorphic to the 4-ball
closed manifold
compact manifold without boundary
finite topological space
topological space with a finite number of points
Hawaiian earring
one-point compactification of a countably infinite family of open intervals