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Tangent Fibration of a Poincaré Complex
Author(s) -
Byun Yanghyun
Publication year - 1999
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799007371
Subject(s) - fibration , mathematics , pure mathematics , tangent , diagonal , homotopy , equivalence (formal languages) , tangent bundle , embedding , manifold (fluid mechanics) , topology (electrical circuits) , mathematical analysis , tangent space , geometry , combinatorics , computer science , mechanical engineering , artificial intelligence , engineering
The unstable tangent fibration of a Poincaré complex is defined so that it is consistent with the manifold case. It exists uniquely for each Poincaré complex X up to fibrewise homotopy equivalence and, furthermore, if a Poincaré embedding structure exists on the diagonal X → X × X , its normal fibration is the tangent fibration.
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