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Metric critical point theory: Potential Well Theorem and its applications

✍ Scribed by Ioffe, Alexander ;Schwartzman, Efim


Publisher
Springer-Verlag
Year
1995
Weight
703 KB
Volume
65
Category
Article
ISSN
0370-7377

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## Abstract Let __E__ be a Banach space and Ξ¦ : __E__ β†’ ℝ a π’ž^1^‐functional. Let 𝒫 be a family of semi‐norms on __E__ which separates points and generates a (possibly non‐metrizable) topology 𝒯~𝒫~ on __E__ weaker than the norm topology. This is a special case of a gage space, that is, a topological