This is the third in a series of papers aimed at generalizing Siebenmann’s famous PhD thesis [13] so that the results apply to manifolds with nonstable fundamental groups at infinity. Siebenmann’s work provides necessary and sufficient conditions for an open manifold of dimension ≥ 6 to contain an open collar neighborhood of infinity, ie, a manifold neighborhood of infinity N such that N ≈ ∂N ×...

Generalising Nachbin's theory of ``topology and order'', in this paper we   continue the study of quantale-enriched categories equipped with a compact   Hausdorff topology. We compare these $V$-categorical compact Hausdorff spaces   with ultrafilter-quantale-enriched categories, and show that the presence of a   compact Hausdorff topology guarantees Cauchy completeness and (suitably   defined) ...

We show that Derksen-Weyman-Zelevinsky’s mutations of quivers with potential yield equivalences of suitable 3-Calabi-Yau triangulated categories. Our approach is related to that of Iyama-Reiten and ‘Koszul dual’ to that of Kontsevich-Soibelman. It improves on previous work by Vitória. In the appendix, the first-named author studies pseudo-compact derived categories of certain pseudo-compact dg ...

Full-specification 8K Super Hi-Vision Production System We presented a new video production system for full-specification 8K Super Hi-Vision (120-Hz frame frequency, 12-bit bit depth, and wide-color-gamut colorimetry). Compact 120-fps 8K Super Hi-Vision Camera Various cameras are being developed with the goal of constructing a 120-fps 8K Super Hi-Vision video production system. This exhibition ...

The conjugacy problem for the pseudo-Anosov automorphisms of a compact surface is studied. To each pseudo-Anosov automorphism φ, we assign an AF -algebra Aφ (an operator algebra). It is proved that the assignment is functorial, i.e. every φ, conjugate to φ, maps to an AF algebra Aφ′ , which is stably isomorphic to Aφ. The new invariants of the conjugacy of the pseudo-Anosov automorphisms are ob...

Given an uncountable cardinal א, the product space I, I = [0, 1], is called a Tychonoff cube. A collection of closed subsets of a subspace Y of a Tychonoff cube I that covers Y determines a weak topology for Y . The collection of compact subsets of I that have a countable dense subset covers I. It is known from work of the author and I. Ivanšić that the weak topology generated by this collectio...

The notion of super weak compactness for subsets Banach spaces is a strengthening the that can be described as local version super-reflexivity. A recent result K. Tu [32] which establishes closed convex hull weakly compact set has removed main obstacle to further development theory. In this paper we provide variety results around in order show great scope notion. We also give non linear charact...