the category of differential triads · differential triads haw finite products. (this paper is...

Author: M.H. Papatriantafillou Title: The Category of Differential Triads Abstract: The aim of the present paper is to define morphisms of differential triads so that the abstract differential structure is preserved. Following those results it is proved that differential triads and their morphisms form a category in which differential manifolds are embedded. Then it is proved that every subset of the base space of a differential triad determines a differential triad which is a subobject of the former, a property missing in the category of manifolds as well as that the category of differential triads haw finite products. (This paper is based on a talk presented by the author in the 4th Panellenic Conference on Geometry on Research in Geometry and in its Teaching towards the 21st century΄΄ taking place in the University of Patras, Greece, 28--30 May 1999.) Creator: HDML

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Page 1: The Category of Differential Triads · differential triads haw finite products. (This paper is based on a talk presented by the author in the 4th Panellenic Conference on Geometry

Author: M.H. Papatriantafillou

Title: The Category of Differential Triads

Abstract: The aim of the present paper is to define morphisms of differential triads sothat the abstract differential structure is preserved. Following those results it is provedthat differential triads and their morphisms form a category in which differentialmanifolds are embedded. Then it is proved that every subset of the base space of adifferential triad determines a differential triad which is a subobject of the former, aproperty missing in the category of manifolds as well as that the category ofdifferential triads haw finite products. (This paper is based on a talk presented by theauthor in the 4th Panellenic Conference on Geometry on Research in Geometry and inits Teaching towards the 21st century΄΄ taking place in the University of Patras,Greece, 28--30 May 1999.)

Creator: HDML