Homotopy groups of highly connected Poincare duality complexes
Methods are developed to relate the action of a principal fibration to relative Whitehead products in order to determine the homotopy type of certain spaces. The methods are applied to thoroughly analyze the homotopy type of the based loops on certain cell attachments. Key examples are (n-1)-connect...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
13.12.2018
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Subjects | |
Online Access | Get full text |
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Summary: | Methods are developed to relate the action of a principal fibration to
relative Whitehead products in order to determine the homotopy type of certain
spaces. The methods are applied to thoroughly analyze the homotopy type of the
based loops on certain cell attachments. Key examples are (n-1)-connected
Poincare Duality complexes of dimension 2n or 2n+1 with minor cohomological
conditions. |
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DOI: | 10.48550/arxiv.1812.05344 |