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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 collec-tionwise 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)

- MARY ELLEN RUDIN
- 2007

A triangulation if of a tetrahedron T is shellable if the tetrahedra Ku • • é , Kn of K can be so ordered that KJUK*-+iVJ • • • UüCn is homeomorphic to Tfor i=l, • • • , n. Sanderson [Proc. Amer. Math. Soc. vol. 8 (1957) p. 917] has shown that, if if is a Euclidean triangulation of a tetrahedron then there is a subdivision K' of K which is shellable; and he… (More)

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

Book Review ways in which the practices and ideology of this [math-ematical] community create an atmosphere that prevents women from being completely accepted as full-fledged mem-bers? " (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… (More)

We prove that if µ + < λ = cf(λ) < µ ℵ 0 for some regular µ > 2 ℵ 0 , then there is no family of less than µ ℵ 0 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 ≥ ℵ 1 as large as desired and satisfying λ <λ = λ and 2 λ + > λ ++ , while there are λ ++ c-algebras of size λ +… (More)

- BY D. G. BOURGIN, Mary Ellen Rudin
- 2007

The objective of this note is the definition of a degree generalizing that of Leray-Schauder [1] for certain possibly nonacyclic set-valued compact transformations of a ball in an arbitrary Banach space. The degree definition achieved extends that of [3] and depends on the material in [2], [3], [4] and [5]. It is new even for the finite-dimensional case.… (More)

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

We give an example of a first countable, hereditarily normal, homogeneous Eberlein compact space which is not metrizable. This answers a question of A. V. ArhangeΓskiϊ. 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,… (More)

- BY GEORGE POOLE, JOHN GERRIETS, Mary Ellen Rudin, John E. Wetzel
- 2007

Recently Gerriets [1] showed that a certain convex closed region with area less than 0.3214L covers any arc of length L. This is an improvement to Wetzel's results [3] on the famous and elusive "Worm Problem" of Leo M oser [2] : What is the (convex) region of smallest area which will accommodate every arc of length L? Wetzel showed that a certain truncated… (More)

- Mary Ellen Rudin
- 2001

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

Links to these slides in my website