The category of long exact sequences and the homotopy exact sequence of modules.

Su, C.Joanna

Displaying similar documents to “The category of long exact sequences and the homotopy exact sequence of modules.”

On relative homotopy groups of modules.

Su, C. Joanna (2007)

International Journal of Mathematics and Mathematical Sciences

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On long exact $(\bar{π}, {Ext}_{λ})$ -sequences in module theory.

Su, C.Joanna (2004)

International Journal of Mathematics and Mathematical Sciences

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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...