Atlas home || Conferences | Abstracts | about Atlas

II Congreso Iberoamericano de Topología y sus Aplicaciones
March 20-22, 1997

Morelía, Mexico

Organizers
Salvador García-Ferreira, Daniel Juan Pineda, Sergio Macías Alvarez, Max Neumann Coto, María L. Pérez Seguí, Salvador Romaguera Bonilla, Manuel Sanchis López, Angel Tamariz Mascarúa, M. G. Tkachenko, Javier F. Trigos Arrieta

View Abstracts
Conference Homepage

Hyperspaces which are locally Euclidean at the top
by
Sergio López Vázquez
Universidad Nacional Autónoma de México

Let X be a compact metric continuum. The hyperspace of subcontinua of X is denoted by C(X). C(X) is called locally Euclidean at X provided that there is a neighborhood of X in C(X) homeomorphic to a n-cell.

A  fruit tree is a finite connected graph such that every cycle (if any) contains exactly one vertex.

In this work we give conditions under which C(X) is locally Euclidean at the top.

Also, we characterize finite graphs which are locally Euclidean at X, namely

Theorem. Let X be a finite connected graph. Then C(X) is locally Euclidean at X if and only if X is a fruit tree.

Date received: March 4, 1997

Copyright © 1997 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 # caak-57.