Generic Projections of Stable Mappings

J.W. Bruce, N. Kirk

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Mather has shown that almost all linear projections of a smooth submanifold of a vector space to a subspace yield a generic mapping (so in the nice dimensions, most linear projections give rise to ‘stable’ mappings). In this paper we show that the same is true if we replace the submanifold by the image of a stable mapping. 2000 Mathematics Subject Classifiation 58C.
Original languageEnglish
Pages (from-to)718-728
JournalBulletin of the London Mathematical Society
Volume32
Issue number6
DOIs
Publication statusPublished - 2000

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Linear Projection
Projection
Submanifolds
Vector space
Subspace

Cite this

Bruce, J.W. ; Kirk, N. / Generic Projections of Stable Mappings. In: Bulletin of the London Mathematical Society. 2000 ; Vol. 32, No. 6. pp. 718-728.
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Generic Projections of Stable Mappings. / Bruce, J.W.; Kirk, N.

In: Bulletin of the London Mathematical Society, Vol. 32, No. 6, 2000, p. 718-728.

Research output: Contribution to journalArticle

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T1 - Generic Projections of Stable Mappings

AU - Bruce, J.W.

AU - Kirk, N.

PY - 2000

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N2 - Mather has shown that almost all linear projections of a smooth submanifold of a vector space to a subspace yield a generic mapping (so in the nice dimensions, most linear projections give rise to ‘stable’ mappings). In this paper we show that the same is true if we replace the submanifold by the image of a stable mapping. 2000 Mathematics Subject Classifiation 58C.

AB - Mather has shown that almost all linear projections of a smooth submanifold of a vector space to a subspace yield a generic mapping (so in the nice dimensions, most linear projections give rise to ‘stable’ mappings). In this paper we show that the same is true if we replace the submanifold by the image of a stable mapping. 2000 Mathematics Subject Classifiation 58C.

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DO - 10.1112/S0024609300007530

M3 - Article

VL - 32

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EP - 728

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

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