Pairings of \(p\)-compact groups and \(H\)-structures on the classifying spaces of finite loop spaces (Q1974503)
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scientific article; zbMATH DE number 1439798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pairings of \(p\)-compact groups and \(H\)-structures on the classifying spaces of finite loop spaces |
scientific article; zbMATH DE number 1439798 |
Statements
Pairings of \(p\)-compact groups and \(H\)-structures on the classifying spaces of finite loop spaces (English)
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27 April 2003
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Summary: We consider the maps between classifying spaces of \(p\)-compact groups of the form \(BX\times BY\to BZ\). The main theorem shows that if the restriction map on \(BY\) is a weak epimorphism, then the restriction on \(BX\) should factor through the classifying spaces of the center of the \(p\)-compact group \(Z\).
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