Bing-Whitehead Cantor sets
Slippery Cantor sets in
Twists of the Iwasawa-Tate Zeta Function.
The Adelic Zeta Function Associated to the Space of Binary Cubis Forms. Part I: Global Theory.
Rigid sets in manifolds
The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
Density of discriminants of cubic extensions.
Prehomogeneous vector spaces and field extensions.
Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space
Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
On the concreteness of quantum logics
It is shown that for any quantum logic one can find a concrete logic and a surjective homomorphism from onto such that maps the centre of onto the centre of . Moreover, one can ensure that each finite set of compatible elements in is the image of a compatible subset of . This result is “best possible” - let a logic be the homomorphic image of a concrete logic under a homomorphism such that, if is a finite subset of the pre-image of a compatible subset of , then is compatible....
On Kalmbach measurability
In this note we show that, for an arbitrary orthomodular lattice , when is a faithful, finite-valued outer measure on , then the Kalmbach measurable elements of form a Boolean subalgebra of the centre of .
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