H-spaces with cyclic symmetry (Q1862034)
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scientific article; zbMATH DE number 1879077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | H-spaces with cyclic symmetry |
scientific article; zbMATH DE number 1879077 |
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H-spaces with cyclic symmetry (English)
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10 March 2003
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The author has previously proven that the minimal simplicial model of an H-space in which the squaring operation is a homotopy equivalence can be endowed with a strictly commutative simplicial pseudo-group structure [Topology Appl. 112, No. 3, 337-348 (2001; Zbl 0989.55005)]. This paper provides an analogue where squaring is replaced by taking \(p\)th powers for any positive integer \(p\). The result is a \(p\)-variable simplicial pseudogroup structure which has strict cyclic symmetry.
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minimal simplicial set
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\(p\)-ary pseudogroup
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operad
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Postnikov system
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central extension
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