The cosmic Hausdorff topology, the bounded Hausdorff topology and continuity of polarity

Topology of Definable Hausdorff Limits

Let A ⊆ R be a set definable in an o-minimal expansion S of the real field, A′ ⊆ R be its projection, and assume that the non-empty fibers Aa ⊆ R n are compact for all a ∈ A′ and uniformly bounded. If L is the Hausdorff limit of a sequence of fibers Aai , we give an upper-bound for the Betti numbers bk(L) in terms of definable sets explicitly constructed from a generic fiber Aa. In particular, ...

A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-hausdorff Space

In the structure theory of C*-algebras an important role is played by certain topological spaces X which, though locally compact in a certain sense, do not in general satisfy even the weakest separation axiom. This note is concerned with the construction of a compact Hausdorff topology for the space G(X) of all closed subsets of such a space X. This construction occurs naturally in the theory o...

Topology Proceedings 9 (1984) pp. 243-268: BETWEEN MINIMAL HAUSDORFF AND COMPACT HAUSDORFF SPACES

Non-Hausdorff Topology and Domain Theory - Selected Topics in Point-Set Topology

In what case do you like reading so much? What about the type of the non hausdorff topology and domain theory selected topics in point set topology new mathematical monographs book? The needs to read? Well, everybody has their own reason why should read some books. Mostly, it will relate to their necessity to get knowledge from the book and want to read just to get entertainment. Novels, story ...

Topology and Continuity

During the last 200 years mathematics has enjoyed a return of geometric techniques. For one who has not studied the subject at a higher level, “geometry” may be a word reminiscent of theorems about triangles and circles dating back to ancient Greece, possibly the topic of some middle and high school classes. Of course, there have been numerous developments in the subject dating from ancient tim...