A Generalized Class of T-norms From a Categorical Point of View

2007 ◽  
Author(s):  
Benjamin Callejas Bedregal ◽  
Helida Salles Santos ◽  
Roberto Callejas-Bedregal
Keyword(s):  
Point Of View ◽  
Categorical Point

The Usual Behaviour of Rational Approximations

1983 ◽  
Vol 26 (3) ◽  
pp. 317-323 ◽  
Author(s):  
Peter B. Borwein
Keyword(s):  
Complex Plane ◽  
Metric Space ◽  
Unit Disc ◽  
Entire Functions ◽  
Complete Metric Space ◽  
Point Of View ◽  
Rational Approximations ◽  
Speed Of Convergence ◽  
Entire Plane ◽  
Categorical Point

AbstractQuestions concerning the convergence of Padé and best rational approximations are considered from a categorical point of view in the complete metric space of entire functions. The set of functions for which a subsequence of the mth row of the Padé table converges uniformly on compact subsets of the complex plane is shown to be residual.The speed of convergence of best uniform rational approximations and Padé approximations on the unit disc is compared. It is shown that, in a categorical sense, it is expected that subsequences of these approximants will converge at the same rate.Likewise, it is expected that the poles of certain sequences of best uniform rational approximations wil be dense in the entire plane.

scholarly journals Autonomization of Monoidal Categories

2017 ◽  
Author(s):  
Antonin Delpeuch
Keyword(s):  
Monoidal Category ◽  
Point Of View ◽  
Monoidal Categories ◽  
Categorical Point

We define the free autonomous category generated by a monoidal category and study some of its properties. From a linguistic perspective, this expands the range of possible models of meaning within the distributional compositional framework, by allowing nonlinearities in maps. From a categorical point of view, this provides a factorization of the construction in [Preller and Lambek, 2007] of the free autonomous category generated by a category. ; Comment: Under review. Comments welcome!

scholarly journals From a Categorical Point of View: K-Nets as Limit Denotators

2006 ◽  
Vol 44 (2) ◽  
pp. 88-113
Author(s):  
Guerino Mazzola ◽  
Moreno Andreatta
Keyword(s):  
Point Of View ◽  
Categorical Point

scholarly journals Contextual semantics in quantum mechanics from a categorical point of view

Synthese ◽  
2015 ◽  
Vol 194 (3) ◽  
pp. 847-886 ◽  
Author(s):  
Vassilios Karakostas ◽  
Elias Zafiris
Keyword(s):  
Quantum Mechanics ◽  
Point Of View ◽  
Categorical Point

scholarly journals The Category of Bratteli Diagrams

2015 ◽  
Vol 67 (5) ◽  
pp. 990-1023 ◽  
Author(s):  
Massoud Amini ◽  
George A. Elliott ◽  
Nasser Golestani
Keyword(s):  
Point Of View ◽  
Category Structure ◽  
Bratteli Diagrams ◽  
K Theory ◽  
Af Algebras ◽  
Categorical Point

AbstractA category structure for Bratteli diagrams is proposed and a functor from the category of AF algebras to the category of Bratteli diagrams is constructed. Since isomorphism of Bratteli diagrams in this category coincides with Bratteli’s notion of equivalence, we obtain in particular a functorial formulation of Bratteli’s classification of AF algebras (and at the same time, of Glimm’s classification of UHF algebras). It is shown that the three approaches to classification of AF algebras, namely, through Bratteli diagrams, K-theory, and a certain natural abstract classifying category, are essentially the same from a categorical point of view.

scholarly journals Forking independence from the categorical point of view

2019 ◽  
Vol 346 ◽  
pp. 719-772 ◽  
Author(s):  
Michael Lieberman ◽  
Jiří Rosický ◽  
Sebastien Vasey
Keyword(s):  
Point Of View ◽  
Categorical Point

Links between Probabilistic Convergence Groups Under Triangular Norms and Enriched Lattice-Valued Convergence Groups

2016 ◽  
Vol 12 (02) ◽  
pp. 53-76
Author(s):  
T. M. G. Ahsanullah ◽  
Fawzi Al-Thukair
Keyword(s):  
Uniform Convergence ◽  
Point Of View ◽  
Close Connection ◽  
Uniform Structure ◽  
Triangular Norms ◽  
Convergence Group ◽  
Convergence Structure ◽  
Basic Facts ◽  
New Perspective ◽  
Categorical Point

We propose here two types of probabilistic convergence groups under triangular norms; present some basic facts, and give some characterizations for both the cases. We look at the possible link from categorical point of view between each of the proposed type and enriched lattice-valued convergence group. We produce several natural examples on probabilistic convergence groups under triangular norms. We also present a notion of probabilistic uniform convergence structure in a new perspective, showing that every probabilistic convergence group is probabilistic uniformizable. Moreover, we prove that this probabilistic uniform structure maintains a close connection with a known enriched lattice-valued uniform convergence structure.

scholarly journals Transitive Lie Algebroids. Categorical Point of View

2017 ◽  
Vol 223 (6) ◽  
pp. 739-755
Author(s):  
A. S. Mishchenko ◽  
Xiaoyu Li
Keyword(s):  
Point Of View ◽  
Lie Algebroids ◽  
Categorical Point

scholarly journals Categories of(I,I)-Fuzzy Greedoids

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Zhen-Yu Xiu ◽  
Fu-Gui Shi
Keyword(s):  
Point Of View ◽  
Categorical Point

The concepts ofI-greedoids, fuzzifying greedoids, and (I,I)-fuzzy greedoids are introduced and feasibility preserving mappings between greedoids are defined. ThenI-feasibility preserving mappings, fuzzifying feasibility preserving mappings, and (I,I)-fuzzy feasibility preserving mappings are given as generalizations of feasibility preserving mappings. We study the relations among greedoids,I-greedoids, fuzzifying greedoids, and (I,I)-fuzzy greedoids from a categorical point of view.

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