Mary Ellen Rudin

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1* Introduction* A compact Hausdorff space is called Eberlein compact, if it is homeomorphic to a weakly compact subset of a Banach space. For information concerning Eberlein compact spaces, see [1], [3], [5] and [7]. If X is Eberlein compact, then X is metrizable if X satisfies the countable chain condition, [2], [5], or if X is linearly orderable, [4]. In(More)
ways in which the practices and ideology of this [mathematical] community create an atmosphere that prevents women from being completely accepted as full-fledged members?” (p. xvii) Addressing this question meant that Henrion would have to identify the “ideology” of the mathematical community and investigate the impact of this ideology on women. The book in(More)
For a compact monotonically normal space X we prove: (1) X has a dense set of points with a well-ordered neighborhood base (and so X is co-absolute with a compact orderable space); (2) each point of X has a well-ordered neighborhood πbase (answering a question of Arhangel’skii); (3) X is hereditarily paracompact iff X has countable tightness. In the process(More)
We study certain Banach spaces that are added in the extension by one Cohen real. Specifically, we show that adding just one Cohen real to any model adds a Banach space of density א1 which does not embed into any such space in the ground model (Theorem 1.1). Moreover, such a Banach space can be chosen to be UG (Theorem 1.6). This has consequences on the the(More)
We prove that if μ+ < λ = cf(λ) < μא0 for some regular μ > 2א0 , then there is no family of less than μא0 c-algebras of size λ which are jointly universal for c-algebras of size λ. On the other hand, it is consistent to have a cardinal λ ≥ א1 as large as desired and satisfying λ<λ = λ and 2λ + > λ++, while there are λ++ c-algebras of size λ+ that are(More)