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Thesis

Theory and applications of algebraic topology

Abstract:

The main aim of this thesis is to make some contribution to the theory of the tangent bundle of a smooth manifold. We study the possibility of reducing the group of the bundle to various specific subgroups. Such reducibility is equivalent to the existence of certain 'structures' on the manifold. In particular we deal with the trivial subgroup and (for even-dimensional manifolds) with a unitary subgroup of maximal rank; the corresponding structures are called 'parallelism' and 'almost compl...

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Peer review status:
Peer reviewed

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Department:
University of Oxford
Role:
Author
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Source identifiers:
601870552
UUID:
uuid:f97cc038-2c0c-4b4b-9f06-fa50a0c4131f
Local pid:
polonsky:10:11
Deposit date:
2017-10-05

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