Homotopy And Simple Homotopy Theory The ultimate sales letter will provide you a distinctive book to overcome you life to much greater. Book, as one of the reference to get many sources can be… (More)

We associate to a Hausdorff space, X, a double groupoid, ρ 2 (X), the homotopy double groupoid of X. The construction is based on the geometric notion of thin square. Under the equivalence of… (More)

In this paper we give an elementary derivation of a 2{groupoid from a bration. This extends a previous result for pointed brations due to Loday. Discussion is included as to the translation between… (More)

This paper is the second in a series exploring the properties of a functor which assigns a homotopy double groupoid with connections to a Hausdorff space. We show that this functor satisfies a… (More)

Various aspects of the traditional homotopy theory of topological spaces may be developed in an arbitrary 2-category C with zeros. In particular certain secondary composition operations called box… (More)

We consider a category H ⊗ (the homotopy category of homotopy squares) whose objects are homotopy commutative squares of spaces and whose morphisms are cubical diagrams subject to a coherent homotopy… (More)