Results 91 to 100 of about 5,912,088 (357)

On the Structure of Metric-like Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
The main purpose of this paper is to introduce several concepts of the metric-like spaces. For instance, we define concepts such as equal-like points, cluster points and completely separate points.
Amin Hosseini, Ajda Fosner
doaj   +1 more source

Some Topological Properties Of Revised Fuzzy Cone Metric Spaces

open access: yesRatio Mathematica, 2023
In this paper, we introduced Revised fuzzy cone Metric space with its topological properties. Likewise A necessary and sufficient condition for a Revised fuzzy cone metric space to be precompact is given.
A Muraliraj, R Thangathamizh
doaj   +1 more source

The proof of $A_2$ conjecture in a geometrically doubling metric space [PDF]

open access: yes, 2011
We give a proof of the $A_2$ conjecture in geometrically doubling metric spaces (GDMS), i.e. a metric space where one can fit not more than a fixed amount of disjoint balls of radius $r$ in a ball of radius $2r$. Our proof consists of three main parts: a
F. Nazarov, A. Reznikov, A. Volberg
semanticscholar   +1 more source

miRNA‐29 regulates epidermal and mesenchymal functions in skin repair

open access: yesFEBS Letters, EarlyView.
miRNA‐29 inhibits cell‐to‐cell and cell‐to‐matrix adhesion by silencing mRNA targets. Adhesion is controlled by complex interactions between many types of molecules coded by mRNAs. This is crucial for keeping together the layers of the skin and for regenerating the skin after wounding.
Lalitha Thiagarajan   +10 more
wiley   +1 more source

Test Spaces for Metric Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1959
Introduction. Let n be a positive integer, and let yn be a topological space with the following property: a topological space X has dimension Yn can be extended over X. Then we call yn a test space for dimension n. In a previous paper [10], we characterized test spaces for dimension n under the assumption that both X and yn were separable metric.
openaire   +2 more sources

A cellular system to study responses to a collision between the transcription complex and a protein‐bound nick in the DNA template

open access: yesFEBS Letters, EarlyView.
We present the cellular transcription‐coupled Flp‐nick system allowing the introduction of a Top1‐mimicking cleavage complex (Flpcc) at a Flp recognition target site within a controllable LacZ gene. LacZ transcription leads to the collision of RNA polymerase II (RNAPII) with Flpcc, and this causes RNAPII stalling, ubiquitination, and degradation.
Petra Herring   +6 more
wiley   +1 more source

A COMPLETION THEOREM FOR COMPLEX VALUED S-METRIC SPACE

open access: yesBarekeng
Any complex valued S-metric space where each Cauchy sequence converges to a point in this space is said to be complete. However, there are complex valued S-metric spaces that are incomplete but can be completed.
Mariatul Kiftiah   +3 more
doaj   +1 more source

A stepwise emergence of evolution in the RNA world

open access: yesFEBS Letters, EarlyView.
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley   +1 more source

On partial metric spaces and partial cone metric spaces

open access: yesHacettepe Journal of Mathematics and Statistics, 2017
It this article we shall show that partial metric spaces and partial cone metric spaces are quasi-uniformizable and hence quasi-metrizable. Finally, an application to the Banach’s fixed point theorem will be presented in this context.
openaire   +3 more sources

On Type of Metric Spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1986
Families of finite metric spaces are investigated. A notion of metric type is introduced and it is shown that for Banach spaces it is consistent with the standard notion of type. A theorem parallel to the Maurey-Pisier Theorem in Local Theory is proved. Embeddings of l p {l_p} -cubes into the
Haim J. Wolfson   +2 more
openaire   +2 more sources

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