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Homeomorphisms of an interval and smoothness of a function

โœ Scribed by V. V. Lebedev

Publisher
SP MAIK Nauka/Interperiodica
Year
1986
Tongue
English
Weight
381 KB
Volume
40
Category
Article
ISSN
0001-4346

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A space X is called a t-image of Y if C,(X) is homeomorphic to a subspace of C,(Y). We prove that if Y is a t-image of X, then Y is a countable union of images of X under almost lower semicontinuous finite-valued mappings (see Definition 1.4). It follows that if Y is a t-image of X (in particular, i

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โœ Jan Schneider ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 286 KB

## Abstract This paper deals with function spaces of varying smoothness. It is a modified version of corresponding parts of [8]. Corresponding spaces of positive smoothness __s__ (__x__) will be considered in part II. We define the spaces __B__~__p__~ (โ„^__n__^ ), where the function ๐•Š: __x__ โ†ฆ __s