Results 11 to 20 of about 6,505 (255)

Closed subsets of compact-like topological spaces

open access: yesApplied General Topology, 2020
We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
doaj   +1 more source

The Hausdorff Algebra Fuzzy Distance and its Basic Properties [PDF]

open access: yesEngineering and Technology Journal, 2021
In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between ...
Zainab Khudhair, Jehad Kider
doaj   +1 more source

GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM

open access: yesCAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong   +12 more
wiley   +1 more source

On Certain Type of Semi open Sets in Soft Topological Space

open access: yesWasit Journal for Pure Sciences, 2022
in this item the concept of W-Hausdorff or soft W-T2  construction in soft topological space is announced with relationship to semi-open sets. since via the normal points of soft  topology is called soft alpha  W-Hausdorff briefly (soft alpha W-T2 ...
Ahmed Shihab HAmad
doaj   +1 more source

Fuzzy metric topology space and manifold [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
doaj   +1 more source

Hausdorff connectifications

open access: yesApplied General Topology, 2014
Disconnectedness in topological space is analyzed to obtain Hausdorff connectifications of that topological space. Hausdorff connectifications are obtained by some direct constructions and by some partitions of connectifications.
Solai Ramkumar
doaj   +1 more source

Pre-Hausdorff and Hausdorff proximity spaces

open access: yesFilomat, 2017
In this paper, an explicit characterization of the separation properties for T0, T1, PreT2 (pre-Hausdorff) and T2 (Hausdorff) is given in the topological category of proximity spaces. Moreover, specific relationships that arise among the various Ti,i = 0,1,2 and PreT2 structures are examined in this category.
Kula, Muammer   +2 more
openaire   +3 more sources

𝒩 -Prime Spectrum of Stone Almost Distributive Lattices

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
Introduced the notions of annulets and 𝒩 -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the 𝒩 -filters.
Rafi N., Bandaru Ravi Kumar, Srujana M.
doaj   +1 more source

The Strong Laws of Large Numbers for Set-Valued Random Variables in Fuzzy Metric Space

open access: yesMathematics, 2021
In this paper, we firstly introduce the definition of the fuzzy metric of sets, and discuss the properties of fuzzy metric induced by the Hausdorff metric.
Li Guan, Juan Wei, Hui Min, Junfei Zhang
doaj   +1 more source

Pre-Hausdorff spaces

open access: yesPublicationes Mathematicae Debrecen, 2008
This paper introduces three separation conditions for topological spaces, called T_{0,1}, T_{0,2} ("pre-Hausdorff"), and T_{1,2}. These conditions generalize the classical T_(1) and T_(2) separation axioms, and they have advantages over them topologically which we discuss.
Stine, Jay, Mielke, M. V.
openaire   +2 more sources

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