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- Title
Tame Fréchet submanifolds of co-Banach type.
- Authors
Freyn, Walter D.
- Abstract
We introduce a new class of submanifolds of co-Banach type in tame Fréchet manifolds and construct tame Fréchet submanifolds as inverse images of regular values of certain tame maps. Our method furnishes an easy way to construct tame Fréchet manifolds. The results presented are key ingredients in the construction of affine Kac-Moody symmetric spaces; they have also important applications in the study of isoparametric submanifolds in tame Fréchet spaces.
- Subjects
FRECHET spaces; SUBMANIFOLDS; BANACH spaces; SET theory; AFFINE geometry; SYMMETRIC spaces
- Publication
Forum Mathematicum, 2015, Vol 27, Issue 4, p2467
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/forum-2012-0154