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Displaying similar documents to “On genera of polyhedra”

Matrix problems and stable homotopy types of polyhedra

Yuriy Drozd (2004)

Open Mathematics

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This is a survey of the results on stable homotopy types of polyhedra of small dimensions, mainly obtained by H.-J. Baues and the author [3, 5, 6]. The proofs are based on the technique of matrix problems (bimodule categories).

Category with a natural cone

Francisco Díaz, Sergio Rodríguez-Machín (2006)

Open Mathematics

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Generally, in homotopy theory a cylinder object (or, its dual, a path object) is used to define homotopy between morphisms, and a cone object is used to build exact sequences of homotopy groups. Here, an axiomatic theory based on a cone functor is given. Suspension objects are associated to based objects and cofibrations, obtaining homotopy groups referred to an object and relative to a cofibration, respectively. Exact sequences of these groups are built. Algebraic and particular examples...

Motivic functors.

Dundas, Bjørn Ian, Röndigs, Oliver, Østvær, Paul Arne (2003)

Documenta Mathematica

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