Premium
On Generic Composites of Maps
Author(s) -
Montaldi James
Publication year - 1991
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/23.1.81
Subject(s) - submanifold , mathematics , manifold (fluid mechanics) , euclidean space , euclidean geometry , space (punctuation) , pure mathematics , topology (electrical circuits) , geometry , mathematical analysis , combinatorics , computer science , mechanical engineering , engineering , operating system
We show that (in the nice dimensions) if a stable map is restricted to a generic submanifold of the source manifold, then the resulting map will also be stable. At the same time, the analogous result for versal unfoldings is proved. A few examples of applications to the extrinsic geometry of submanifolds of Euclidean space are discussed.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom