A LIP Immersion of Lipschitz Manifolds Modelled on Some Banach Spaces

Από το τεύχος 43 του περιοδικού Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The aim of the present paper is to study the analogous problem given by J. Luukkainen and J. Vaisala for second countable, paracompact Lipschitz n- manifolds, n|ge 1 and by I. Colojoara for H-Lipschitz (H being a separable Hilbert space) second countable, paracompact manifolds in the case of B-Lipschitz manifolds, where B is a Banach space. In particular the paper describes author's attempt to give a thorough answer to the following problem: If X is a B-Lipschitz manifold then what are the conditions that B and X have in order to exist a map f: X rightarrow B having the following properties: item a. f is injective |item b. f and f^{-1}: f(X) |rightarrow X are locally Lipschitz |item c. f(X) is closed.''

Σελ. 1

Σελ. 2

Σελ. 3

Σελ. 4

Σελ. 5

Σελ. 6