Atlas home || Conferences | Abstracts | about Atlas

SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

View Abstracts
Conference Homepage

MinSpec and zero-dimensional spaces
by
Joseph Kist
New Mexico State University

Let X be a preordered set, P a family of prime initial sets in X equipped with the hull-kernel topology. We show that if each basic open set Nx={P in P:x not in P} is also hull-kernel closed, then each member of P is in a minimal prime initial belonging to the initial set I= \cap {P:P in P}. The converse is considered.

Date received: May 1, 2001

Copyright © 2001 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 # cagw-15.