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Conference on Galois Connections
March 15-18, 2001
University of Potsdam
Potsdam, Germany

Organizers
K. Denecke, S.L. Wismath

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Polarities of power-ordered sets
by
D. Schweigert
University of Kaiserslautern

A polarity on a poset (A; <= ) is a bijective map ': A --> A which fulfills the conditions

  1. (x')'=x

  2. x <= y implies y' <= x'

We study the polarities on finite and infinite power-ordered sets.

Date received: January 18, 2001

Copyright © 2001 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 # cagi-06.