An incomplete list. Some closely related papers by other authors are also included. In the following "SLNM" stands for , while the titles of the four journals most frequently publishing research on categories are abbreviated as follows: JPAA = , TAC = , ACS = , CTGDC = Cahiers de Topologie et Géométrie Différentielle Catégoriques, CTGD = . For a more complete list, see , from which this list was derived. Some closely related or specialized items are listed not by date of publication, but by their topic.
1970
Cf. Street, "Two constructions on lax functors".
See also: Kock writes: "Street was probably the first to observe that opfibrations could be described as pseudo-algebras for a KZ monad , p. 118, he uses this description as his definition of the notion of opfibration, so therefore, no proof is given. Also, loc.cit. gives no proof of the fact that split opfibrations then are the strict algebras. So in this sense, Section 6 of the present article only supplements loc.cit. by providing elementary proofs of these facts."
1980
, followed in 1987 by This paper discusses relations between -bimodules and two-sided fibrations and cofibrations in -Cat: "The -modules turn out to amount to the bicodiscrete cofibrations in -Cat." --- Closely related to these constructions is:
Republished as
Republished as:
Compare:
1990
"Parity complexes are a new combinatorial structure introduced here in order to provide a uniform treatment of the diagrams in all dimensions that appear in descent theory and in the theory of homotopy types." See also:
This article is available from the author .
2000
Part of this paper was presented in: Invited talk at the . The URL for the title links to slides for, and an audio of, the talk.
See also: .
"The notion of cartesian bicategory, introduced by Carboni and Walters for locally ordered bicategories, is extended to general bicategories. It is shown that a cartesian bicategory is a symmetric monoidal bicategory."
For a link to the complete issue containing this article, click .
2010
This paper is available from the author .
Begins with an elementary introduction to the subject.
The arXiv version contains several corrections to the published paper; the DOI link is to the 2019 Corrigendum to the original 2015 paper.
This paper is available from the author .
"we define a category which provides an answer to the questions: what is a set with half an element? what is a set with π elements?" The arXiv version of 2018-01-16 points out that Examples 5.5 and 5.6 in the published paper are not in fact examples of series monoidal categories. This paper is at The n-Category Café.
"the author felt the time ripe to publish a reworking of Eilenberg and Kelly’s original paper on closed categories appropriate to the laxer context."
"A concrete model of the free skew-monoidal category on a single generating object is obtained."
Earlier version:
Unpublished work
An excerpt from .
Two unpublished manuscripts on topos theory: ; .
Handwritten manuscript. See also:
Handwritten undated manuscript.
Handwritten manuscript. Defines the Gray tensor product on 2-Cat as the left Kan extension of a geometrically natural tensor product defined on a full dense subcategory of 2-Cat.
"his paper gives the precise modification of the string diagrams in monoidal categories required to accommodate the existence
