Liftings in categorical homotopy (Q1339388)
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scientific article; zbMATH DE number 699136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Liftings in categorical homotopy |
scientific article; zbMATH DE number 699136 |
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Liftings in categorical homotopy (English)
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3 May 1995
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The aim of this paper is to give a theory of lifting problems which permits to develop categorical homotopy. Then the axioms of closed model (homotopy) categories, in the sense of \textit{D. G. Quillen} [``Homotopical algebra'', Lect. Notes Math. 43. Berlin etc. : Springer (1967; Zbl 0168.20903)], can be restricted to lifting except the one concerning weak equivalences. A notion of smallness for objects permits to obtain a sufficient condition for the axioms to be satisfied.
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categorical homotopy
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small object
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closed model category
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lifting
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0.93099666
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0.9247678
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0.9174794
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0.9152434
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0.90872645
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