Geometry of singular sets

J.W. Bruce

doi:10.1017/S0305004100068237

Geometry of singular sets

J.W. Bruce

Research output: Contribution to journal › Article (journal) › peer-review

7 Citations (Scopus)

Abstract

Singularity theory is concerned with the study of smooth mappings between smooth manifolds. Given two such manifolds X and Y and a pair of smooth mappings f1,f2: X→Y we say that f1 and f2 are -equivalent if there are diffeomorphisms α: X→X and β: Y→Y with βof1oα = f2. Clearly -equivalence is an equivalence relation, and one aims to classify smooth mappings f: X→Y up to this equivalence.

Original language	English
Pages (from-to)	495-509
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	106
Issue number	3
DOIs	https://doi.org/10.1017/S0305004100068237
Publication status	Published - 1989

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title = "Geometry of singular sets",

abstract = "Singularity theory is concerned with the study of smooth mappings between smooth manifolds. Given two such manifolds X and Y and a pair of smooth mappings f1,f2: X→Y we say that f1 and f2 are -equivalent if there are diffeomorphisms α: X→X and β: Y→Y with βof1oα = f2. Clearly -equivalence is an equivalence relation, and one aims to classify smooth mappings f: X→Y up to this equivalence.",

author = "J.W. Bruce",

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journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

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TY - JOUR

T1 - Geometry of singular sets

AU - Bruce, J.W.

PY - 1989

Y1 - 1989

N2 - Singularity theory is concerned with the study of smooth mappings between smooth manifolds. Given two such manifolds X and Y and a pair of smooth mappings f1,f2: X→Y we say that f1 and f2 are -equivalent if there are diffeomorphisms α: X→X and β: Y→Y with βof1oα = f2. Clearly -equivalence is an equivalence relation, and one aims to classify smooth mappings f: X→Y up to this equivalence.

AB - Singularity theory is concerned with the study of smooth mappings between smooth manifolds. Given two such manifolds X and Y and a pair of smooth mappings f1,f2: X→Y we say that f1 and f2 are -equivalent if there are diffeomorphisms α: X→X and β: Y→Y with βof1oα = f2. Clearly -equivalence is an equivalence relation, and one aims to classify smooth mappings f: X→Y up to this equivalence.

U2 - 10.1017/S0305004100068237

DO - 10.1017/S0305004100068237

M3 - Article (journal)

SN - 0305-0041

VL - 106

SP - 495

EP - 509

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 3

ER -

Geometry of singular sets

Abstract

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