Atlas home || Conferences | Abstracts | about Atlas

The First Turkish International Conference on Topology and its Applications
August 2-5, 2000
Istanbul University
Istanbul, Turkey

Organizers
Nurettin Ergun, Mahir Hasanov, Turgut Önder, Cem Tezer, Murat Tuncali, Stephen Watson

View Abstracts
Conference Homepage

Hausdorff Compactifications and Zero-One Measures
by
Gino Tironi
Department of Mathematical Sciences, University of Trieste
Coauthors: Georgi Dimov (University of Sofia)

It is well known that the Wallman-type compactifications of a Tychonoff space X can be obtained as spaces of all regular zero-one measures on suitable lattices of subsets of X. Using the technique developed in previous papers of the authors, we find for any Tychonoff space X a Boolean algebra BX and a set LX of sublattices of BX having the following property: for any Hausdorff compactification cX of X there exists a (unique) LcX in LX such that the maximal spectrum of LcX and the space of all u-regular zero-one measures on the Boolean subalgebra b(LcX) of BX, generated by LcX, are Hausdorff compactifications of X equivalent to cX.

Date received: July 1, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeh-56.