scholarly journals REMARKS ON IDEAL COMPLETION OF *-CONTINUOUS IDEMPOTENT LEFT SEMIRINGS

2011 ◽  
Vol 43 ◽  
pp. 1-21
Author(s):  
Hitoshi Furusawa ◽  
Fumiya Sanda ◽  
Norihiro Tsumagari
Keyword(s):  
Ideal Completion

scholarly journals The essence of ideal completion in quantitative form

2002 ◽  
Vol 278 (1-2) ◽  
pp. 141-158 ◽  
Author(s):  
Robert C. Flagg ◽  
Philipp Sünderhauf
Keyword(s):  
Quantitative Form ◽  
Ideal Completion

Metric completion versus ideal completion

1995 ◽  
pp. 236-248
Author(s):  
Mila E. Majster-Cederbaum ◽  
Christel Baier
Keyword(s):  
Ideal Completion

Violence and Heterogeneity

Janus Head ◽  
2004 ◽  
Vol 7 (2) ◽  
pp. 404-428
Author(s):  
Apple Zefelius Igrek ◽  
Keyword(s):  
The Other ◽  
The Subject ◽  
The Law ◽  
Ideal Completion

This article begins with a response to Habermas’ critique of Bataille. Habermas argues that the realm of heterogeneity/transgression is only opened up in moments of shock which overwhelm the subject. The rational categories of thought which maintain a useful relationship with the outside (i.e., with anything construed as unfamiliar) are fragmented in the excess and horror of Bataille’s communication. Hence it is impossible to bring together under one theoretical umbrella the antitheses of subjectivity and its excluded other: by definition the other ought to be marginalized in its very objectification by the subject, normativity, rationality, etc. My response is that the two opposed terms/antitheses are indeed opposed, but they are not therefore abstract opposites. That is to say, the subject is always already an equivocation of terms, a kind of sacrilege which cannot be assimilated to an ideal completion. The law is itself a transgression.

θ-continuity and Dθ-completion of posets

2017 ◽  
Vol 28 (4) ◽  
pp. 533-547 ◽  
Author(s):  
ZHONGXI ZHANG ◽  
QINGGUO LI ◽  
XIAODONG JIA
Keyword(s):  
Completely Distributive ◽  
Continuous Poset ◽  
Ideal Completion

We introduce a new concept of continuity of posets, called θ-continuity. Topological characterizations of θ-continuous posets are put forward. We also present two types of dcpo-completion of posets which are Dθ-completion and Ds2-completion. Connections between these notions of continuity and dcpo-completions of posets are investigated. The main results are (1) a poset P is θ-continuous iff its θ-topology lattice is completely distributive iff it is a quasi θ-continuous and meet θ-continuous poset iff its Dθ-completion is a domain; (2) the Dθ-completion of a poset B is isomorphic to a domain L iff B is a θ-embedded basis of L; (3) if a poset P is θ-continuous, then the Dθ-completion Dθ(P) is isomorphic to the round ideal completion RI(P, ≪θ).

The Ideal Completion of a Noetherian Local Domain

2016 ◽  
Vol 44 (6) ◽  
pp. 2513-2530
Author(s):  
Simplice Tchamna Kouna
Keyword(s):  
Local Domain ◽  
Ideal Completion ◽  
The Ideal

scholarly journals A Domain-Theoretic Approach to Integration in Hausdorff Spaces

2000 ◽  
Vol 3 ◽  
pp. 229-273 ◽  
Author(s):  
J. D. Howroyd
Keyword(s):  
Hausdorff Space ◽  
Metric Spaces ◽  
Ordered Set ◽  
Future Research ◽  
Sufficient Condition ◽  
Theoretic Approach ◽  
Hausdorff Spaces ◽  
Locally Compact ◽  
Analytic Set ◽  
Ideal Completion

AbstractIn this paper we generalize the construction of a domain-theoretic integral, introduced by Professor Abbas Edalat, in locally compact separable Hausdorff spaces, to general Hausdorff spaces embedded in a domain. Our main example of such spaces comprises general metric spaces embedded in the rounded ideal completion of the partially ordered set of formal balls. We go on to discuss analytic subsets of a general Hausdorff space, and give a sufficient condition for a measure supported on an analytic set to be approximated by a sequence of simple valuations. In particular, this condition is always satisfied in a metric space embedded in the rounded ideal completion of its formal ball space. We finish with a comments section, where we highlight some potential areas for future research and discuss some questions of computability.

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