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.)

Στοιχεία Άρθρου

Περιοδικό	Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Αρ. Τεύχους	Τεύχος 44
Περίοδος	2000
Συγγραφέας	M. H. Papatriantafillou
Αρ. Αρθρου	14
Σελίδες	129-141
Γλώσσα	-
Λέξεις Κλειδιά	Differential triads, categories, morphisms, products, subobjects

The Category of Differential Triads