Categorical aspects in projective geometry

Faure, Claude-Alain; Frolicher, Alfred

doi:10.1023/A:1008632119843

Scientific article

English

Categorical aspects in projective geometry

ContributorsFaure, Claude-Alain; Frolicher, Alfred

Published inApplied categorical structures, vol. 6, no. 1, p. 87-103

Publication date1998

Abstract

After introducing morphisms between projective geometries, some categorical questions are examined. It is shown that there are three kinds of embeddings and two kinds of quotients. Furthermore the morphisms decompose in a canonical way into four factors.

Keywords

Morphisms and homomorphisms of projective geometries
Subgeometries and subspaces
Quotient geometries
Initial and final morphisms
Sections and retractions
Decomposition of a morphism

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

FAURE, Claude-Alain, FROLICHER, Alfred. Categorical aspects in projective geometry. In: Applied categorical structures, 1998, vol. 6, n° 1, p. 87–103. doi: 10.1023/A:1008632119843

Article (Published version)

Identifiers

PID : unige:12423
DOI : 10.1023/A:1008632119843

ISSN of the journal0927-2852

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Categorical aspects in projective geometry

After introducing morphisms between projective geometries, some categorical questions are examined. It is shown that there are three kinds of embeddings and two kinds of quotients. Furthermore the morphisms decompose in a canonical way into four factors.

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