Premium
Thom's Theorem for Banach Spaces
Author(s) -
Arkeryd Leif
Publication year - 1979
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-19.2.359
Subject(s) - banach space , generalization , mathematics , eberlein–šmulian theorem , pure mathematics , gravitational singularity , type (biology) , bounded inverse theorem , space (punctuation) , discrete mathematics , topology (electrical circuits) , mathematical analysis , lp space , computer science , combinatorics , finite rank operator , ecology , biology , operating system
This paper completes the author's generalization of Thom's Theorem in elementary catastrophe theory to a Banach space setting. The main result is the openness and density in the Whitney C∞‐topology among unfoldings with all singularities of Fredholm type, of those with only elementary catastrophes.