HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

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.
Document type :
Conference papers
Complete list of metadata

https://hal.univ-reunion.fr/hal-01188005
Contributor : Nicolas Alarcon Connect in order to contact the contributor
Submitted on : Friday, August 28, 2015 - 12:59:26 PM
Last modification on : Friday, January 21, 2022 - 3:27:02 AM

Identifiers

  • HAL Id : hal-01188005, version 1

Citation

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⟩

Share

Metrics

Record views

105