- precompact space
- мат. предкомпактное пространство
Большой англо-русский и русско-английский словарь. 2001.
precompact space
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Precompact set — In topology and related branches of mathematics, a precompact set, or pre compact set, may be either: * A relatively compact set; or * A totally bounded set.(These are equivalent in a complete metric space.) … Wikipedia
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Spectral theory of compact operators — In functional analysis, compact operators are linear operators that map bounded sets to precompact ones. Compact operators acting on a Hilbert space H is the closure of finite rank operators in the uniform operator topology. In general, operators … Wikipedia
Palais-Smale compactness condition — The Palais Smale compactness condition is a necessary condition for some theorems of the calculus of variations.The condition is necessary because the calculus of variations studies function spaces that are infinite dimensional some extra notion… … Wikipedia
Topologie discrète — Pour les articles homonymes, voir Discret. En mathématiques, plus précisément en topologie, la topologie discrète sur un ensemble est une structure d espace topologique où, de façon intuitive, tous les points sont « isolés » les uns des … Wikipédia en Français
