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- JAN VAN MILL, A. V. ArhangeΓskiϊ, Mary Ellen Rudin
- 2004

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)

A manifold is a connected Hausdorff space in which every point has a neighborhood homeomorphic to Euclidean n-space (n is unique). A space is collectionwise Hausdorff (cwH) if every closed discrete subspace D can be expanded to a disjoint collection of open sets each of which meets D in one point. There are exactly two examples of 1-dimensional… (More)

- Ann Hibner Koblitz, Lenore Blum, +4 authors Mary Ellen Rudin
- 1998

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)

At the summer meeting (1955) of the American Mathematical Society, Mary E. Rudin presented an example of a separable normal nonparacompact space. It is the purpose of this note to point out that an example [3] due to F. B. Jones (1937) with an obvious definition of open sets is also such an example. Jones' paper was published before the notion of… (More)

- Grace Wahba, UGrad, Mary Ellen Rudin, Marigold Melli
- 2013

After a few historical remarks, I will describe favorite parts of my career over time which involved serendipitous interactions with colleagues and studets that provided a solution (“the Ah-Ha moment”) to some interesting problems. Then I will move to some recent work involving utilization of pairwise dissimilarity/distance information.

- M. E. Rudin
- 2007

- Scott W. Williams, Haoxuan Zhou, Mary Ellen Rudin
- 2010

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)