Normal, Not Paracompact Spaces

This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15020-0. First published in Bull. AMS. in 1982, published by the American Mathematical Society.We describe some recently constructed counterexamples in general topology, including a normal, nonmetrizable Moore space, a normal para-Lindelof, not paracompact space, and a normal, screenable, not paracompact space

Son of George and V = L

This is the published version, also available here: http://dx.doi.org/10.2307/2273322.This paper has three parts. In this first part, we formulate and prove from V = L a new combinatorial principle, ⋄++. In the second part, we discuss the topological problem which led to the formulation of ⋄++. Finally, we use ⋄++ to construct a space solving the topological problem

A TB Space Which is Not Katetov TB

This is the published version, also available here: http://www.dx.doi.org/10.1216/RMJ-1980-10-3-661

Coarser connected topologies

AbstractWe investigate which spaces have coarser connected topologies. If in a collectionwise normal space X, the density equals the extent, which is attained and at least c, then X has a coarser connected collectionwise normal topology. In the previous sentence, the separation property collectionwise normal can be replaced by other separation properties—for example, Hausdorff, Urysohn, regular, metrizable. A zero-dimensional metrizable space X of density at least c has a coarser connected metrizable topology. A non-H-closed Hausdorff space with a σ-locally finite base has a coarser connected Hausdorff topology. We give necessary conditions and sufficient conditions for an ordinal to have a coarser connected Urysohn topology. In particular, every indecomposible ordinal of countable cofinality has a coarser connected topology. We present a nowhere locally compact Hausdorff space X with no coarser connected Hausdorff topology, yet X is dense in a connected Hausdorff space Y

Strong zero-dimensionality of products of ordinals

AbstractWe show that the product of finitely many subspaces of ordinals is strongly zero-dimensional. In contrast, for each natural number n, there is a subspace of (ω+1)×c of dimension n

NORMALITY VERSUS COUNTABLE PARACOMPACTNESS IN PERFECT SPACES

This is the published version, also available here: http://www.dx.doi.org/10.1090/S0002-9904-1976-14150-X. First published in Bull. AMS. in 1976, published by the American Mathematical Society

PMEA implies proposition P

AbstractThe Product Measure Extension Axiom (PMEA) asserts that for every set A, Haar measure on 2A can be extended to all subsets of 2A. PMEA implies the normal Moore space conjecture. Proposition P is the statement that every point-finite analytic-additive family of subsets of a metrizable space is σ-discretely decomposible. Proposition P is useful in nonseparable Borel theory. We show in this paper that PMEA implies Proposition P

The performance of the 30-Gallon-Drum Neutron Multiplicity Counter at Rocky Flats Environmental Technology Site

In the fall of 1994, Rocky Flats Environmental Technology Site (RFETS) committed to offering approximately one metric ton of excess weapons plutonium for safeguards verification by the International Atomic Energy Agency (IAEA). At that time RFETS decided to offer cans of plutonium of varying purity, stored one or two to a package in 10- gal. drums, and contracted with the Los Alamos to obtain a 30-Gallon- Drum Neutron Multiplicity Counter (NMC) to measure these materials. A multiplicity counter was deemed necessary because of IAEA experience that the standard coincidence counting techniques routinely used in IAEA inspections would fail for plutonium-bearing materials of variable purity. RFETS also thought that such an instrument would be useful for their domestic safeguards needs

The histone chaperones Vps75 and Nap1 form ring-like, tetrameric structures in solution

NAP-1 fold histone chaperones play an important role in escorting histones to and from sites of nucleosome assembly and disassembly. The two NAP-1 fold histone chaperones in budding yeast, Vps75 and Nap1, have previously been crystalized in a characteristic homodimeric conformation. In this study, a combination of small angle X-ray scattering, multi angle light scattering and pulsed electron–electron double resonance approaches were used to show that both Vps75 and Nap1 adopt ring-shaped tetrameric conformations in solution. This suggests that the formation of homotetramers is a common feature of NAP-1 fold histone chaperones. The tetramerisation of NAP-1 fold histone chaperones may act to shield acidic surfaces in the absence of histone cargo thus providing a ‘self-chaperoning’ type mechanism