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The space of minimal structures [article]

Oleg Belegradek
2013 arXiv   pre-print
For a signature L with at least one constant symbol, an L-structure is called minimal if it has no proper substructures. Let S_L be the set of isomorphism types of minimal L-structures.  ...  This topology on S_L generalizes the topology of the space of n-marked groups.  ...  Since S L is the set of isomorphism types of minimal L-structures, we call the topological space (S L , τ ) the Stone space of isomorphism types of minimal L-structures, or, for short, the Stone space  ... 
arXiv:1303.0412v1 fatcat:nsjgcduk4rhfzommaal5xivd4y

The structure of minimal surfaces in CAT(0) spaces [article]

Stephan Stadler
2018 arXiv   pre-print
We prove that a minimal disc in a CAT(0) space is a local embedding away from a finite set of "branch points".  ...  On the way we establish several basic properties of minimal surfaces: monotonicity of area densities, density bounds, limit theorems and the existence of tangent maps.  ...  I would like to thank Alexander Lytchak for many helpful discussions and his valuable comments on an earlier version of this paper.  ... 
arXiv:1808.06410v1 fatcat:44ucchxs7beejenl43tbkkrmbu

The structuring effect of a Gottlieb element on the Sullivan minimal model of a space [article]

Gregory Lupton, Samuel Bruce Smith
2022 arXiv   pre-print
We show a Gottlieb element in the rational homotopy of a simply connected space X implies a structural result for the Sullivan minimal model, with different results depending on parity.  ...  This fact allows us to complete an argument of Dupont to prove an even-degree Gottlieb element gives a free factor in the rational cohomology of a formal space of finite type.  ...  In Section 4, we give a structure result for a Sullivan minimal model having Gottlieb elements of both parities in the scenario that arises in the realization problem for Y = S 2n .  ... 
arXiv:2206.14622v1 fatcat:biv2sv6fbjhqtci62suawladpi

Affiness of topological space definable in a definably complete uniformly locally o-minimal structure of the second kind [article]

Masato Fujita, Tomohiro Kawakami
2021 arXiv   pre-print
We give a necessary and sufficient condition for a one-dimensional regular and Hausdorff topological space definable in a definably complete uniformly locally o-minimal structure of the second kind having  ...  Introduction Metric spaces with metrics definable in o-minimal structures and topological spaces with topologies definable in o-minimal structures have been investigated in [9, 11, 12, 13] . Y.  ...  A locally o-minimal structure [10] which is defined by simply localizing the definition of o-minimal structures does not admit local definable cell decomposition.  ... 
arXiv:2110.15616v1 fatcat:e3zynktrlnhhrowm3d3aupr24m

Minimal spaces with a mathematical structure

Shyamapada Modak
2017 Journal of the Association of Arab Universities for Basic and Applied Sciences  
., 1982) and aOðXÞ (Njastad, 1965) are the examples of minimal structures on X. Recall the definition of grill: Choquet, 1947) .  ...  This has been discussed with the help of two operators in minimal spaces. Ó 2016 University of Bahrain. Publishing services by Elsevier B.V.  ...  Therefore we conclude that the topological space is not the only space for discussing the properties of w M -Operator. Al-Omari and Noiri (2012a) is also a suitable space for the same.  ... 
doi:10.1016/j.jaubas.2016.05.005 fatcat:li6upftndfdsdendlz7nhw74cu

Identification of two allotwins of mica polytypes in reciprocal space through the minimal rhombus unit

Massimo Nespolo, Giovanni Ferraris, Hiroshi Takeda
2000 Acta Crystallographica Section B Structural Science  
These patterns are analysed in terms of the minimal rhombus, a geometrical asymmetric unit in reciprocal space which permits the decomposition of the composite reciprocal lattice of a twin or allotwin  ...  into the reciprocal lattices of the individuals.  ...  Part of this work (HT) has been undertaken at the Research Institute, Chiba Institute of Technology.  ... 
doi:10.1107/s0108768100002044 pmid:10944254 fatcat:ugwrdl6om5htvduqqltrpukyw4

Design of Single Layer Radar Absorbing Structures(RAS) for Minimizing Radar Cross Section(RCS) Using Impedance Matching
임피던스정합을 이용한 레이더반사면적 최소화 단층형 전파흡수구조 설계

Byung-Wook Jang, Jung-Sun Park
2015 Journal of the Korean Society for Aeronautical & Space Sciences  
The design of radar absorbing structures(RAS) is a discrete optimization problem and is usually processed by stochastic optimization methods.  ...  Input impedance of the minimal RCS for the specified wave incident conditions is obtained by interlocking physical optics(PO) and optimizations.  ...  Design results of single layer RAS by minimizing RCS for NACA-0012 wing model Design results of single layer RAS by minimizing RCS for NACA-2412 wing model ) Table 3 . 3 Design results of single layer  ... 
doi:10.5139/jksas.2015.43.2.118 fatcat:ltyeujf7vvgwrdtsgsmkwxf6sa

An Intro duction to Neutrosophic Minimal Structure Spaces

M. Karthika, M. Parimala, F. Smarandache
2020 Zenodo  
This motivates us to present the concept of neutrosophic minimal structure space. We defined neutrosophic minimal structure space, closure and interior of a set, subspace.  ...  This paper is an introduction of neutrosophic minimal structure space and addresses properties of neutrosophic minimal structure space. Neutrosophic set has plenty of applications.  ...  The proof of (ii) is similarly to (i). Applications The application of neutrosophic minimal structure space is based on the minimal element and maximal element.  ... 
doi:10.5281/zenodo.4065471 fatcat:dqhrr3djzzgibnxj73unck5qkm

Minimal and Maximal Operator Space Structures on Banach Spaces [article]

Vinod Kumar P., M. S. Balasubramani
2014 arXiv   pre-print
In this note, we consider the subspace and the quotient space structure of minimal and maximal operator spaces.  ...  Blecher and Paulsen identified two extreme operator space structures on X, namely Min(X) and Max(X) which represents respectively, the smallest and the largest operator space structures admissible on X  ...  The first author acknowledge the financial support by University Grants Commission of India, under Faculty Development Programme. The first author is grateful to Prof. Gilles Pisier, Prof.  ... 
arXiv:1411.5079v1 fatcat:m6kdmvky3jhvtmbuvqrmqrydm4

ON MINIMAL SEMICONTINUOUS FUNCTIONS

Won-Keun Min
2012 Communications of the Korean Mathematical Society  
In this paper, we introduce the notions of minimal semicontinuity, strongly m-semiclosed graph, m-semiclosed graph, m-semi-T 2 , m-semicompact and investigate some properties for such notions.  ...  And they introduced the notion of m-continuous function [3] as a function defined between a minimal structure and a topological space.  ...  In this paper, we introduce and study the notion of m-semicontinuous function defined between a minimal structure and a topological space.  ... 
doi:10.4134/ckms.2012.27.2.341 fatcat:qx5d7tlo5fandf52iqcewikdmi

m-SEMIOPEN SETS AND M-SEMICONTINUOUS FUNCTIONS ON SPACES WITH MINIMAL STRUCTURES

Won-Keun Min
2009 Honam Mathematical Journal  
In this paper, we introduce the notions of m-semiopen sets and M -semicontinuous functions on spaces with minimal structures and study some properties of such notions.  ...  In particular, we investigate characterizations for the M -semicontinuous function and the relationship between M -continuity and M -semicontinuity.  ...  In this paper, we introduce the notions of m-semiopen sets, m-semiinterior and m-semi-closure operators on a space with a minimal structure. We investigate some basic properties of such notions.  ... 
doi:10.5831/hmj.2009.31.2.239 fatcat:5scyiok6dnavdnr5mgcsda2oo4

M-PRECLOSED GRAPH AND M*-PREOPEN MAPPING ON SPACES WITH MINIMAL STRUCTURES

Won-Keun Min, Young-Key Kim
2009 Honam Mathematical Journal  
We introduce the concepts of M -preclosed graph and M * -preopen mapping on spaces with minimal structures and investigate some properties of M * -preopen mapping.  ...  We also investigate the relationships between M -precontinuous mappings and several types of m-compactness.  ...  We introduced the concepts of m-preopen set and M -precontinuity on spaces with minimal structures in [1] .  ... 
doi:10.5831/hmj.2009.31.4.497 fatcat:znctgx5vpbdqxikaewl6x63ncm

The Minimal Set of Intermolecular Interactions in the Structures of Substituted Prolines

Alexandru Banaru, Alexander Kochnev
2017 Studia Universitatis Babe?-Bolyai Chemia  
The initial structural data were mined from Cambridge Structural Database. The topology of each structure was analyzed with respect to a minimal generator set of the space group.  ...  It was shown that the least number of strong symmetrically independent interactions required to generate a crystal structure is likely to exceed the cardinality of a minimal generator set.  ...  ACKNOWLEDGEMENTS The authors are thankful to L. Vasilieva for her help in preparing of this manuscript.  ... 
doi:10.24193/subbchem.2017.1.10 fatcat:a7wdja3jprc7bo3tzdu5kfpshe

Dimensional oscillation

MARK E. SNOW, GORDON M. CRIPPEN
2009 International journal of peptide & protein research  
The structure of the AMBER potential energy surface of the cyclic tetrapeptide cyclotetrasarcosyl is analyzed as a function of the dimensionality of coordinate space.  ...  It is found that the number of local energy minima decreases as the dimensionality of the space increases until some limit at which point equipotential subspaces appear.  ...  The energy minimized structures are named with the starting structure name followed by r3 for a 3-space minimized structure, r4 for a 4-space minimized structure and so on.  ... 
doi:10.1111/j.1399-3011.1991.tb01424.x fatcat:ek72kih2irfohagdz4iceajb6y

Taming the Landscape of Effective Theories [article]

Thomas W. Grimm
2021 arXiv   pre-print
are definable using the tame geometry built from an o-minimal structure.  ...  In particular, we will exploit the fact that coset spaces and period mappings are definable in an o-minimal structure and argue for non-trivial tameness results in higher-supersymmetric theories and in  ...  The basic strategy in defining a tame topology based on o-minimal structures [7] is to specify the space of allowed subsets of Rn , for every n.  ... 
arXiv:2112.08383v1 fatcat:knzm6u3bzzfldm6j6ugf4pytne
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