Adjective
Hausdorff (not comparable)
(of a topological space) Such that any two distinct points have disjoint neighborhoods.
About the humiliations to which Hausdorff and his family especially were exposed to after Kristallnacht in 1938, much is known and from many different sources, such as from the letters of Bessel-Hagen. Source: Internet
A characterization of finite dimensionality is that a Hausdorff TVS is locally compact if and only if it is finite-dimensional (therefore isomorphic to some Euclidean space). Source: Internet
Also, a subset of a normal space need not be normal (i.e. not every normal Hausdorff space is a completely normal Hausdorff space), since every Tychonoff space is a subset of its Stone–Čech compactification (which is normal Hausdorff). Source: Internet
Already, in the summer semester of 1901, Hausdorff gave a lecture on set theory. Source: Internet
Although not part of this definition, many authors Armstrong, p. 73; Bredon, p. 51; Willard, p. 91. require that the topology on G be Hausdorff ; this corresponds to the identity map being a closed inclusion (hence also a cofibration ). Source: Internet
After his habilitation, Hausdorff wrote another work on optics, on non-Euclidean geometry, and on hypercomplex number systems, as well as two papers on probability theory. Source: Internet