Homotopy theory induced by cones (Q2766075)

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scientific article; zbMATH DE number 1695326
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Homotopy theory induced by cones
scientific article; zbMATH DE number 1695326

    Statements

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    12 December 2002
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    cone functor
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    exact sequence
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    homotopy group
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    cocone functor
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    Homotopy theory induced by cones (English)
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    The author presents an abstract homotopy theory based on a cone functor [\textit{E. Padrón} and the second author, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 24, 465-474 (1990; Zbl 0726.18005)]. This allows to obtain homotopy groups of based objects and exact sequences as well. Then a list of examples is presented.
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