A Classification Approach for Open Manifolds

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dc.creatorEichhorn, Juergen
dc.date1999-11-25
dc.date.accessioned2026-07-07T05:31:56Z
dc.date.available2026-07-07T05:31:56Z
dc.descriptionThere are a least uncountably many diffeomorphism types for open manifolds. Hence the classification problem is extremely difficult. We proceed as follows: We define several uniform structures of proper metric spaces and consider their arc components. Any open complete manifold (M^n,g) defines such a component. Hence the classification amounts to two steps. First counting all components, and secondly counting all elements inside a component. This can be partially done by invariants. We define bordism groups and relative characteristic numbers.
dc.identifierhttps://arxiv.org/abs/math/9911203
dc.identifierhttp://arxiv.org/abs/math/9911203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79483
dc.subjectDifferential Geometry
dc.subject58D17, 58B20
dc.titleA Classification Approach for Open Manifolds
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