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February 2008 Chu correspondences
Hideo MORI
Hokkaido Math. J. 37(1): 147-214 (February 2008). DOI: 10.14492/hokmj/1253539583

Abstract

The concept of Chu correspondences between formal contexts is introduced. The construction of formal concepts induces a functor $Gal$ from the category of Chu correspondences to the category of sup-preserving maps between complete lattices. It turns out that the category of Chu correspondences has a $*$-autonomous category structure and the functor $Gal$ is shown to preserve the $*$-autonomous category structure.

Citation

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Hideo MORI. "Chu correspondences." Hokkaido Math. J. 37 (1) 147 - 214, February 2008. https://doi.org/10.14492/hokmj/1253539583

Information

Published: February 2008
First available in Project Euclid: 21 September 2009

zbMATH: 1146.06002
MathSciNet: MR2395081
Digital Object Identifier: 10.14492/hokmj/1253539583

Subjects:
Primary: 06B99
Secondary: 18B99

Keywords: $*$-autonomous category , Chu space , formal concept analysis

Rights: Copyright © 2008 Hokkaido University, Department of Mathematics

Vol.37 • No. 1 • February 2008
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