On algebraic models for homotopy 3-types (Q2381406)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On algebraic models for homotopy 3-types |
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On algebraic models for homotopy 3-types (English)
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17 September 2007
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The paper explores some relations among algebraic models for homotopy 3-types, giving a complete description of the passage from a crossed square (a commutative square of groups with some actions) to a 2-crossed module, giving a functor from 2-crossed modules to quadratic modules. Giving a full description of the construction of a quadratic module from a simplicial group with Moore complex of length 2, and giving a construction of a quadratic module from a crossed square.
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algebraic models
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2-crossed module
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quadratic modules
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simplicial group
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crossed square
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