|
Organizers |
Spaces determined by selections
by
Iván Martínez-Ruiz
UNAM, México
Coauthors: Michael Hrušák
A function j:[X]2→ X is called a weak selection if j({x, y}) ∈ {x, y} for every x, y ∈ X. To each weak selection j on X, we can associate a topology tj, generated by the sets (←, x)={y ≠ x:j({x, y}=y} and (x, →)={y ≠ x:j({x, y}=x}. In this talk, we will present some results with respect to spaces whose topology is determined by a weak selection. In particular, we answer two questions of Gutev and Nogura as well as a question of García-Ferreira and Tomita.
Date received: February 19, 2009
Copyright © 2009 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 # cayo-12.