منابع مشابه
Products of Baire Spaces
Only the usual axioms of set theory are needed to prove the existence of a Baire space whose square is not a Baire space. Assuming the continuum hypothesis (CH), Oxtoby [9] constructed a Baire space whose square is not Baire. We will show in this paper that the assumption of CH is unnecessary. Such results are greatly enhanced by Krom [5], who showed that if there is such an example, then there...
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In the article concepts and facts necessary to continue forma-lization of theory of continuous lattices according to [10] are introduced. The notation and terminology used here are introduced in the following papers:
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In this article we introduced the isomorphism mapping between cartesian products of family of linear spaces [4]. Those products had been formalized by two different ways, i.e., the way using the functor [:X,Y:] and ones using the functor " product ". By the same way, the isomorphism mapping was defined between Cartesian products of family of linear normed spaces also. The notation and terminolo...
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where Lc(X, Y ) denotes the subspace of all compact operators. This phenomenon was studied later by many authors (see e.g. [1; 5; 11; 12; 13; 14; 15; 20; 21]); of prime importance are Vogt’s results [24] giving a generally complete description of the relations (1) for the general case of Fréchet spaces (for further generalizations see also [3; 4]). Originally, the main goal in [25; 26] was the ...
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We introduce the concept of Baire embeddings and we classify them up to C conjugacies. We show that two such embeddings are Cequivalent if and only if they have exponentially equivalent geometries. Next, we introduce the class of IFS-like Baire embeddings and we also show that two Hölder equivalent IFS-like Baire embeddings are C conjugate if and only if their scaling functions are the same. In...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1961
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-49-2-157-166