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most citedMathematics and Logic as Information Compression by Multiple Alignment, Unification and Search

10 citations

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math.AT2002★ 10 cited

The fundamental groupoid of the quotient of a Hausdorff space by a discontinuous action of a discrete group is the orbit groupoid of the induced action

Ronald Brown, Philip J. Higgins

The main result is that the fundamental groupoid of the orbit space of a discontinuous action of a discrete group on a Hausdorff space which admits a universal cover is the orbit g…

math.AT2002★ 1 cited

Computation and Homotopical Applications of Induced Crossed Modules

Ronald Brown, Christopher D. Wensley

We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues i…