topological property
object of study in the category of topological spaces
compactness
topological property
mapping class group
Group of isotopy classes of a topological automorphism group
genus
topological property
genus
topological property
Euler characteristic
topological invariant in mathematics
boundary
dividing line between two areas or sets of points in a topological space; difference between the closure and the interior
analytic torsion
topological invariant of manifolds that can distinguish homotopy-equivalent manifolds; computable as a regularized determinant of the Laplacian for an arbitrary Riemannian metric
fundamental group
mathematical group of the homotopy classes of loops in a topological space
Schwarz genus
generalization of Lusternik–Schnirelmann category
cellularity
cardinal-valued invariant in topology
Topological indistinguishability
topological relational characteristic
caliber
cardinal invariant of a topological space: given a space X, the cardinal κ such that for every family of κ nonempty open subsets of X, there is some point of X contained in κ of these subsets
resilient leaf
leaf of a foliation that is nonproper and with nontrivial holonomy