Results 51 to 60 of about 722,539 (348)
An operation on topological spaces
<p>A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural continuity requirements are satisfied. The operation is called diagonalization (of X). Two problems are considered: 1.
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Topological Structures on DMC Spaces † [PDF]
Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet X and output alphabet Y can be naturally endowed with the quotient of the Euclidean topology by the equivalence relation.
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Mechanical Metamaterials for Bioengineering: In Vitro, Wearable, and Implantable Applications
Mechanical metamaterials with engineered architectures exhibit properties that differ from and greatly surpass those of their constituent bulk materials. This review summarizes the applications of mechanical metamaterials in bioengineering, focusing on advances in the last 5 years.
Madihah Kazim+2 more
wiley +1 more source
Pairwise Compact In Intuitionistic Double Topological Spaces
The concept of intuitionistic topological space was introduced by Çoker .The aim of this paper is to discuss the relation between bitopological spaces and double- topological spaces and give a notion of pairwise compact for double topological spaces .
Hadi J Mustafa+2 more
doaj +1 more source
Weak topologies for unbounded nets in CAT($0$) spaces [PDF]
Weak topologies that yield weak convergence for bounded sequences and nets in CAT($0$) spaces have been studied in the past. We are here concerned with weak topologies that yield weak convergence of unbounded sequences and nets. We analyze two such topologies that generalize the weak topology on Hilbert spaces and that agree with the strong topology on
arxiv
Mechanical metamaterials capable of compressive stiffness tunability, shape morphing, and post‐fabrication modularity. Herein, the 3D unit cell design is based on an assembly of bistable von Mises trusses that exhibit a switch in compressive stiffness and resting height from one stable state to the other.
Yannis Liétard+2 more
wiley +1 more source
More on Fuzzy Topological Spaces on Fuzzy Space [PDF]
The fuzzy topological space was introduced by Dip in 1999 depending on the notion of fuzzy spaces. Dip's approach helps to rectify the deviation in some definitions of fuzzy subsets in fuzzy topological spaces. In this paper, further definitions, and theorems on fuzzy topological space fill the lack in Dip's article.
arxiv
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley +1 more source
The Fixed Point Property of Non-Retractable Topological Spaces
Unlike the study of the fixed point property (FPP, for brevity) of retractable topological spaces, the research of the FPP of non-retractable topological spaces remains. The present paper deals with the issue.
Jeong Min Kang, Sang-Eon Han, Sik Lee
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Sum of Soft Topological Spaces
In this paper, we introduce the concept of sum of soft topological spaces using pairwise disjoint soft topological spaces and study its basic properties.
Tareq M. Al-shami+2 more
doaj +1 more source