R
Ronald Brown
Researcher at Bangor University
Publications - 128
Citations - 5638
Ronald Brown is an academic researcher from Bangor University. The author has contributed to research in topics: Homotopy & Homotopy group. The author has an hindex of 37, co-authored 128 publications receiving 5402 citations. Previous affiliations of Ronald Brown include University of Hull & University of Wales.
Papers
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Journal ArticleDOI
Van Kampen theorems for diagrams of spaces
Ronald Brown,Jean-Louis Loday +1 more
TL;DR: In this article, a triad tensor product of two relative homotopy groups, each acting on the other via ;r,C is defined for a pair of groups M, N each of which acts on each other.
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From Groups to Groupoids: a Brief Survey
TL;DR: A groupoid is a small category in which every morphism is an isomorphism as mentioned in this paper, and a groupoid can be thought of as a group with many objects, or with many identities.
Book
Topology and Groupoids
TL;DR: Camarena as discussed by the authors pointed out a gap in the proofs in [BT&G, Bro06] of a condition for the Phragmen-Brouwer Property not to hold; this note gives the correction in terms of a result on a pushout of groupoids.
Journal ArticleDOI
On the algebra of cubes
Ronald Brown,Philip J. Higgins +1 more
TL;DR: In this paper, a generalisation of the Seifert-Van Kampen theorem to all dimensions is presented. But the main purpose of this paper is to prove the Brouwer degree theorem in all dimensions.
Journal ArticleDOI
G-groupoids, crossed modules and the fundamental groupoid of a topological group
TL;DR: In this paper, Verdier and Duskin showed that the first Postnikov invariant of a topological group X is a double groupoid whose associated crossed module has an obstruction class or k-invariant which lies in @(,X, zl(X, e)).