Semirigid Systems of Equivalence Relations. - Université de La Réunion Access content directly
Conference Papers Year : 2012

Semirigid Systems of Equivalence Relations.

Abstract

A system \\textbackslashmathcal M\ of equivalence relations on a set \E\ is \textbackslashemph\semirigid\ if only the identity and constant functions preserve all members of \\textbackslashmathcal M\. We construct semirigid systems of three equivalence relations. Our construction leads to the examples given by Z\textbackslash'adori in 1983 and to many others and also extends to some infinite cardinalities. As a consequence, we show that on every set of at most continuum cardinality distinct from \2\ and \4\ there exists a semirigid system of three equivalence relations.
No file

Dates and versions

hal-01188005 , version 1 (28-08-2015)

Identifiers

  • HAL Id : hal-01188005 , version 1

Cite

Christian Delhommé, Masahiro Miyakawa, Maurice Pouzet, Ivo G. Rosenberg, Hisayuki Tatsumi. Semirigid Systems of Equivalence Relations.. IEEE 42nd International Symposium on Multiple-Valued Logic ISMVL-2012, May 2012, Victoria, Canada. pp.293--298. ⟨hal-01188005⟩
116 View
0 Download

Share

Gmail Mastodon Facebook X LinkedIn More