Resenhas IME-USP 1995, Vol. 2, No. 2, 193-196.

On Independent Sets

O.T. Alas

Instituto de Matemática e Estatística
Universidade de São Paulo
Caixa Postal 66281
Agência Cidade de São Paulo
05389-970 São Paulo, SP
Brazil
E-mail address: alas@ime.usp.br

Abstract

This note contains some results presented in my talk `Three Applications of Combinatorics to General Topology' at the Semana de Combinatória (São Paulo, November 1994), dedicated to Paul Erdös. Generalizations in ZFC and under Martin's axiom of former results by Erdös [Erdös, P., Some remarks on set theory III, Michigan Math. J. 2 (1953-54), 51-57] and Bagemihl [Bagemihl, F., The existence of an everywhere dense independent set, Michigan Math. J. 20 (1973), 1-2] concerning the existence of independent sets for set-maps are shown.


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Last modified: Mon Oct 30 11:22:39 GMT 1995