## Strict 2-toposes (2006)

by
Mark Weber

### BibTeX

@MISC{Weber06strict2-toposes,

author = {Mark Weber},

title = {Strict 2-toposes},

year = {2006}

}

### OpenURL

### Abstract

Abstract. A 2-categorical generalisation of the notion of elementary topos is provided, and some of the properties of the yoneda structure [SW78] it generates are explored. Examples relevant to the globular approach to higher dimensional category theory are discussed. This paper also contains some expository material on the theory of fibrations internal to a finitely complete 2-category [Str74b] and provides a self-contained development of the necessary background material on yoneda structures.