The Transport of Species of Structures along the Braid Group

Abstract

The purpose of this paper is to present in an introductory was the notion of transport of t-structures of a given species. The letter t symbolizes a braid with m strands that is performed on each element of [U]m. The transport will therefore be unique on each element of [U]m up to isomorphism because a braid is an isotopy class. This paper contains the basic concepts of the combinatorial theory of species of t-structures. We begin with some general considerations on the notion of t-structure, everywhere present in mathematics and theoretical computer science. These preliminary considerations lead us in a natural manner to the fundamental concept of species of structures. The definition of species puts the emphasis on the transport of t-structures along bijections of Bm.