Subanalytic Bundles and Tubular Neighbourhoods of Zero-Loci

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dc.creatorPati, Vishwambhar
dc.date2003-07-02
dc.date2003-12-05
dc.date.accessioned2026-07-07T04:59:21Z
dc.date.available2026-07-07T04:59:21Z
dc.descriptionWe introduce the natural and fairly general notion of a subanalytic bundle (with a finite dimensional vector space $P$ of sections) on a subanalytic subset $X$ of a real analytic manifold $M$, and prove that when $M$ is compact, there is a Baire subset $U$ of sections in $P$ whose zero-loci in $X$ have tubular neighbourhoods, homeomorphic to the restriction of the given bundle to these zero-loci.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0307021
dc.identifierhttp://arxiv.org/abs/math/0307021
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 3, August 2003, pp. 251-279
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67948
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject32B20, 32C05, 14P15, 14P25
dc.titleSubanalytic Bundles and Tubular Neighbourhoods of Zero-Loci
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