#### Filter Results:

- Full text PDF available (95)

#### Publication Year

1963

2016

- This year (0)
- Last 5 years (26)
- Last 10 years (76)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

#### Organism

Learn More

- Jukka Honkola, Hannu Laine, Ronald Brown, Olli Tyrkko
- ISCC
- 2010

Introduction The aim of this paper is to show one more facet of the role of crossed complexes as generalisations of both groups (or groupoids) and of chain complexes. We do this by defining and establishing the main properties of a classifying space functor B: mia-> SToft from the category of crossed complexes to the category of spaces. The basic example of… (More)

- RONALD BROWN
- 1987

A groupoid should be thought of as a group with many objects, or with many identities. A precise definition is given below. A groupoid with one object is essentially just a group. So the notion of groupoid is an extension of that of groups. It gives an additional convenience, flexibility and range of applications, so that even for purely group-theoretical… (More)

- Fahd Ali Al-Agl, Ronald Brown, Richard Steiner
- 2000

We show the equivalence of two kinds of strict multiple category, namely the well-known globular o-categories, and the cubical o-categories with connections. # 2002 Elsevier Science (USA)

A generalised tensor product G 0 H of groups G, H has been introduced by R. Brown and J.-L. Loday in [3,4]. It arises in applications in homotopy theory of a generalised Van Kampen theorem. The reason why G 0 H does not necessarily reduce to GUh Oz Huh, the usual tensor product over Z of the abelianisations, is that it is assumed that G acts on H (on the… (More)

This work is devoted to an interpretation and computation of the first homology groups of the small category given by a rewriting system. It is shown that the elements of the first homology group may be regarded as the equivalence classes of the flows in a graph of the rewriting system. This is applied to calculating the homology groups of asynchronous… (More)

- Ronald Brown
- 2008

We publicise a proof of the Jordan Curve Theorem which relates it to the Phragmen-Brouwer Property, and whose proof uses the van Kampen theorem for the fundamental groupoid on a set of base points.

- Ronald Brown
- 2004

This is an extended account of a short presentation with this title given at the Min-neapolis IMA Workshop on 'n