activity
20012021
most citedComputing Homotopy Types Using Crossed N-Cubes of Groups

23 citations · 60 across the 14 of their papers we have counts for

collaborators

15 papers

math.AT2021

Not just an idle game" (the story of higher dimensional versions of the Poincar{é} fundamental group)

Ronald Brown

The title of this article is partially taken from writings of A. Einstein. In the 1932 ICM at Zürich, when E. \vCech gave a seminar on higher homotopy groups of a pointed space and…

math.AT2020

"Not just an idle game":(examining some historical conceptual arguments in homotopy theory)

Ronald Brown

Part of the title of this article is taken from writings of Einstein, which argue that we need to exercise our ability to analyse familiar concepts, to demonstrate the conditions o…

math.AT2016

Modelling and Computing Homotopy Types: I

Ronald Brown

The aim of this article is to explain a philosophy for applying higher dimensional Seifert-van Kampen Theorems, and how the use of groupoids and strict higher groupoids resolves so…

math.AT2014★ 2 cited

Corrigendum to "Groupoids, the Phragmen-Brouwer Property, and the Jordan Curve Theorem", J. Homotopy and Related Structures 1 (2006) 175-183

Ronald Brown, Omar Antolín Camarena

Omar Antol{\'ı}n Camarena pointed out a gap in the proofs in \cite{Brown15,BrownJordan} of a condition for the Phragmen--Brouwer Property not to hold; this note gives the correctio…

math.AT2010★ 1 cited

Covering morphisms of groupoids, derived modules and a 1-dimensional Relative Hurewicz Theorem

Ronald Brown

We fill a lacuna in the literature by giving a version in dimension 1 of the Relative Hurewicz Theorem, and relate this to abelianisations of groupoids, covering spaces and coverin…

math.AT2010

Covering morphisms of crossed complexes and of cubical omega-groupoids with connection are closed under tensor product

Ronald Brown, Ross Street

The aim is the theorems of the title and the corollary that the tensor product of two free crossed resolutions of groups or groupoids is also a free crossed resolution of the produ…