Welcome to Topospaces (The Topology Wiki). This is a pre-alpha stage topology wiki primarily managed by Vipul Naik, a Ph.D. student in Mathematics at the University of Chicago. We have over 400 articles including some material in basic point-set topology. It is part of a broader subject wikis initiative -- see the subject wikis reference guide for more details
Monotonically normal space (DEFINITION): Like a normal space, except that the open subsets separating closed subsets should vary monotonically.
Connected manifold implies homogeneous (FACT): There is a homeomorphism taking any point of a connected manifold to any other point.
Applying compactness (SURVEY ARTICLE): Explore how the fact that a topological space is compact can be put to good use.