Can there be a structure space-type theory for an arbitrary class of ideals ring? The ideal spaces introduced in this paper allows such study and our includes (but not restricted to) prime, maximal, minimal strongly irreducible, completely proper, minimal, primary, nil, nilpotent, regular, radical, principal, finitely generated ideals. We characterise that are sober. introduce the notion discon...

by Lincoln Williams. Edgar Backus, Leicester6/-. This small book takes only a few minutes to read and naturally deals only very superficially with the problem of alcoholism. It is "addressed to the man in the street, and his doctor too" but it will scarcely give the latter much he doesn't know, and its main purpose must be to provide an encouragement for the sufferer and for his family, by emph...

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 study the mathematical structure of notion measurement space, which extends aspects noncommutative topology that are based on quantale theory. This yields a geometric model physical measurements provides realist picture, yet also operational, such and classical information arise interdependently as primitive concepts. A derived observer caters for formulation Bohr's classical/quantum divide....

ToMorrow We'll be Sober. It was not until a SubCommittee on Alcoholism was set up by the World Health Organisation in 1951, that the size of the problem throughout the world became apparent, even to the experts themselves. Hitherto the alcoholic had been hardly worthy of serious scientific study, being regarded by the medical profession as well as by lay people as the subject of moral weakness ...

In this paper, we consider how an unknown constant within a state update function or output function a ects biases of linear approximations. This allows us to obtain information from an unknown constant within a T-function. We use this knowledge for mounting an attack against stream cipher SOBER-128 where we gain information from the key dependent secret constant using multiple linear approxima...

The present paper introduces aggregative spaces and their category AGS, and then establishes a dual adjunction between AGS and the category Agop of aggregation operators on bounded partially ordered sets. Spatial aggregation operators and sober aggregative spaces, enabling us to restrict the dual adjunction between AGS and Agop to a dual equivalence between the full subcategory of Agop consisti...

Schwarz, G. 1978. Estimating the dimension of a model. Ann. Stat. 6:461–465. Semple, C., and M. Steel. 2003. Phylogenetics. Oxford University Press, Oxford. Sober, E. 1988. Reconstructing the past—Parsimony, evolution, and inference. MIT Press, Cambridge, Massachusetts. Sober, E. 2002. Reconstructing ancestral character states—A likelihood perspective on cladistic parsimony. The Monist 85:156– ...

Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its d-Scott topology; for standard quasi-metric spaces, algebraicity is equivalent to having enough center points; on a standard quasi-metric space, every lower sem...

Abstract In this study, mainly, we introduce the category Tex of textures and texturally continuous functions. Relations with some other categories, particulary dfTex, fTex, are pointed out. It is shown that the categories CTop of C-spaces and a full subcategory of Sober of sober spaces are, respectively, isomorphic to Tex and STex of simple textures. Some properties discussed including the exi...