scholarly journals Fuzzy uniform structures

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4763-4779 ◽  
Author(s):  
Jesús Rodríguez-López
Keyword(s):  
Uniform Structure ◽  
Uniform Spaces ◽  
Adjoint Functors ◽  
The Relationship

The concept of fuzzy uniform structure was introduced in [7] as a fuzzy counterpart of the concept of gauge associated with a uniformity. In fact, the category of fuzzy uniform structures is isomorphic to that of uniform spaces. Here, we introduce two other concepts of fuzzy uniform structures which allow to establish two categories isomorphic to the categories of probabilistic uniform spaces and Lowen uniform spaces, respectively. This sheds light on the relationship between these fuzzy uniformities and classical uniformities. Furthermore, we obtain a factorization of Lowen?s adjoint functors ?* and ? which establish a relationship between the categories of uniform spaces and Lowen uniform spaces.

scholarly journals Investigation of the classification and properties of three-dimensional textile fabrics

2019 ◽  
Vol 14 ◽  
pp. 155892501988996
Author(s):  
Zhenyu Ma ◽  
Pingze Zhang ◽  
Jianxun Zhu
Keyword(s):  
Three Dimensional ◽  
Physical And Mechanical Properties ◽  
Structural Features ◽  
Textile Composites ◽  
Uniform Structure ◽  
Fiber Volume ◽  
Textile Fabrics ◽  
And Performance ◽  
Relationship Of ◽  
The Relationship

Three-dimensional textile fabrics are used as the reinforcing phase of the textile structural composites, and their geometry affect the physical and mechanical properties of composites. Based on the curvature and directions of the fiber tows in three-dimensional textile fabrics, four representative geometric units are proposed, namely, the orthogonal geometric unit, the curved geometric unit, the skew geometric unit, and the uniform distribution unit, respectively. Other units are the combinations or derivations of these representative geometric units. The relationship and performance characteristics of these representative geometric units are discussed in section “The relationship of RGUs.” The structural features of three-dimensional textile fabrics are illustrated on the mesoscopic scale, and the models are established to predict the geometric properties. The concepts of fabrics with stable structure, flexible structure, elastoplastic structure, and uniform structure are proposed. The fiber volume fractions and elastic characteristics of different structural fabrics are discussed. The classification of three-dimensional textile fabrics is conducive to investigate the relationship between geometry and property, forming a technical system and providing a theoretical basis for the selection of three-dimensional structural textile composites with different performance.

scholarly journals Uniformization of quasi-uniform spaces

1981 ◽  
Vol 23 (3) ◽  
pp. 413-422 ◽  
Author(s):  
T. G. Raghavan ◽  
I. L. Reilly
Keyword(s):  
Uniform Space ◽  
Sufficient Conditions ◽  
Uniform Structure ◽  
Uniform Spaces

This paper considers the question of when a quasi-uniform space has a compatible uniform structure. Typical of the sufficient conditions provided is the result that a quasi-uniform space whose conjugate topology is compact and R0 is uniformizable.

Effect of Argon Pressure on the Structure and Resistivity of Dc Magnetron Sputtered LaB6 Films

2013 ◽  
Vol 303-306 ◽  
pp. 2519-2523 ◽  
Author(s):  
Li Jie Hu ◽  
Lin Zhang ◽  
Guo Qing Zhao ◽  
Jie Lin ◽  
Guang Hui Min
Keyword(s):  
Thin Films ◽  
Electrical Property ◽  
Film Structure ◽  
Argon Pressure ◽  
Uniform Structure ◽  
Measuring Instrument ◽  
Structure And Properties ◽  
Crystallinity Degree ◽  
Deposition Parameters ◽  
The Relationship

A series of Si (100) based LaB6films were deposited by D.C. magnetron sputtering with different argon pressure, one of the most important deposition parameters, which affect both the structure and properties of the thin films. XRD, AFM, Raman, and Hall measuring instrument were used to characterize the film structure and performances. It was found that argon pressure strongly influenced the condensing particles’ kinetic energy obviously through affecting the scattering processes of sputtered energetic particles, which played a crucial role in the growth of the LaB6films. LaB6film deposited at 1.0 Pa showed a higher crystallinity degree. Morever, the film displayed a more uniform structure and better electrical property, the relationship between microsture, electrical property and crystallinity were demonstrted as well.

A Note on Locally Quasi-Uniform Spaces

1976 ◽  
Vol 19 (4) ◽  
pp. 501-504 ◽  
Author(s):  
Troy L. Hicks ◽  
Shirley M. Huffman
Keyword(s):  
Topological Space ◽  
Uniform Structure ◽  
Uniform Spaces

AbstractLocally quasi-uniform spaces are studied, and it is shown that a topological space (X, t) admits exactly one compatible locally quasi-uniform structure if and only if t is finite.

scholarly journals On the Topological and Uniform Structure of Diversities

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Andrew Poelstra
Keyword(s):  
Uniform Convergence ◽  
Natural Transformation ◽  
Uniform Continuity ◽  
Uniform Structure ◽  
Natural Analogue ◽  
Uniform Spaces ◽  
Tight Span ◽  
Cauchy Sequences ◽  
Analytical Properties ◽  
Uniformly Continuous

Diversities have recently been developed as multiway metrics admitting clear and useful notions of hyperconvexity and tight span. In this note, we consider the analytical properties of diversities, in particular the generalizations of uniform continuity, uniform convergence, Cauchy sequences, and completeness to diversities. We develop conformities, a diversity analogue of uniform spaces, which abstract these concepts in the metric case. We show that much of the theory of uniform spaces admits a natural analogue in this new structure; for example, conformities can be defined either axiomatically or in terms of uniformly continuous pseudodiversities. Just as diversities can be restricted to metrics, conformities can be restricted to uniformities. We find that these two notions of restriction, which are functors in the appropriate categories, are related by a natural transformation.

scholarly journals Grothendieck–Neeman duality and the Wirthmüller isomorphism

2016 ◽  
Vol 152 (8) ◽  
pp. 1740-1776 ◽  
Author(s):  
Paul Balmer ◽  
Ivo Dell’Ambrogio ◽  
Beren Sanders
Keyword(s):  
Duality Theory ◽  
Homotopy Theory ◽  
Stable Homotopy ◽  
Adjoint Functors ◽  
Stable Homotopy Theory ◽  
Matlis Duality ◽  
Interesting Pattern ◽  
Tensor Triangulated Categories ◽  
The Relationship ◽  
Compactly Generated

We clarify the relationship between Grothendieck duality à la Neeman and the Wirthmüller isomorphism à la Fausk–Hu–May. We exhibit an interesting pattern of symmetry in the existence of adjoint functors between compactly generated tensor-triangulated categories, which leads to a surprising trichotomy: there exist either exactly three adjoints, exactly five, or infinitely many. We highlight the importance of so-called relative dualizing objects and explain how they give rise to dualities on canonical subcategories. This yields a duality theory rich enough to capture the main features of Grothendieck duality in algebraic geometry, of generalized Pontryagin–Matlis duality à la Dwyer–Greenless–Iyengar in the theory of ring spectra, and of Brown–Comenetz duality à la Neeman in stable homotopy theory.

Discrete Sets and Associated Dynamical Systems in a Non-Commutative Setting

2005 ◽  
Vol 48 (2) ◽  
pp. 302-316 ◽  
Author(s):  
Takeo Yokonuma
Keyword(s):  
Topological Group ◽  
Dynamical Systems ◽  
Topological Space ◽  
Uniform Structure ◽  
Uniform Spaces ◽  
Locally Compact ◽  
Compact Topological Group ◽  
Compact Topological Space ◽  
Topological Dynamical Systems ◽  
Locally Compact Topological Group

AbstractWe define a uniform structure on the set of discrete sets of a locally compact topological space on which a locally compact topological group acts continuously. Then we investigate the completeness of these uniform spaces and study these spaces by means of topological dynamical systems.

Remainders of metric completions

1972 ◽  
Vol 7 (3) ◽  
pp. 367-376
Author(s):  
C.J. Knight
Keyword(s):  
Extensive Study ◽  
Uniform Structure ◽  
Topological Spaces ◽  
Dense Subspace ◽  
Complete Space ◽  
The Relationship

Certain topological spaces X may bear various uniform structures compatible with the topology of X; to each uniform structure there corresponds a completion of X, that is, a complete space Z containing X as a dense subspace. For compact completions, there has been extensive study of the relationship between X and the possible remainders Z\X. This paper begins a study of the more general, and apparently easier, problem of the relationship between X and its not necessarily compact remainders. We find that for spaces X admitting a complete metric, every space Y which satisfies certain conditions obviously necessary for Y to be the remainder of a completion of X in fact occurs as such a completion.

scholarly journals Maximality, fixed points and variational principles for mappings on quasi-uniform spaces

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5345-5355
Author(s):  
Raúl Fierro
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Variational Principles ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Uniform Structure ◽  
Uniform Spaces ◽  
Order Relations ◽  
And Variational Principles

By making use of maximality on some appropriate preorderings, some classical results stated in the context of metric spaces are extended to spaces endowed with quasi-uniform structures. Indeed, various results on fixed point theory and variational principles have been proved by arguments using order relations in metric spaces. In this work, some of the mentioned results are extended to spaces having a quasi-uniform structure, by means of appropriate preorderings. The concept of w-distance is used to this purpose. Moreover, equivalences of maximality are stated for general preorderings.

Complete Quasi-Uniform Spaces

1980 ◽  
Vol 23 (4) ◽  
pp. 497-498 ◽  
Author(s):  
Shirley M. Huffman ◽  
Troy L. Hicks ◽  
John W. Carlson
Keyword(s):  
Topological Space ◽  
Uniform Structure ◽  
Uniform Spaces

AbstractAn example is given of a topological space that does not admit a strongly complete quasi-uniform structure.

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