Results 21 to 30 of about 4,715,878 (299)
Extensions of Hausdorff spaces [PDF]
A topological property & is called a Hausdorff extension property if each Hausdorff space X can be densely embedded in a space κX this yields a theorem parallel to a similar result for the lattice of Hausdorff compactifications of a locally compact space X and βX\X obtained by Magill.
Porter, Jack R., Woods, R. Grant
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Steiner Problem in the Gromov-Hausdorff Space: The Case of Finite Metric Spaces [PDF]
The Steiner problem is considered in the Gromov-Hausdorff space, i.e., in the space of compact metric spaces (considered up to isometry) endowed with the Gromov-Hausdorff distance.
A. Ivanov, N. Nikolaeva, A. Tuzhilin
semanticscholar +1 more source
Compact condensations of Hausdorff spaces [PDF]
17 ...
Alexander V. Osipov+3 more
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Generalized Hausdorff operator on Bergmann spaces
In this article, we considered the generalized Hausdorff operator ℋμ,ϕ,a{{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} on Bergmann space and determined the conditions on ϕ\phi and aa so that the operator is bounded.
Perumal Sasikala+1 more
doaj +1 more source
Explicit Geodesics in Gromov-Hausdorff Space [PDF]
We provide an alternative, constructive proof that the collection $\mathcal{M}$ of isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance is a geodesic space. The core of our proof is a construction of explicit geodesics on $
Samir Chowdhury, Facundo M'emoli
semanticscholar +1 more source
Lorentzian metric spaces and their Gromov–Hausdorff convergence [PDF]
We present an abstract approach to Lorentzian Gromov–Hausdorff distance and convergence, and an alternative approach to Lorentzian length spaces that does not use auxiliary “positive signature” metrics or other unobserved fields.
E. Minguzzi, S. Suhr
semanticscholar +1 more source
Closed subsets of compact-like topological spaces
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
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The Hausdorff Algebra Fuzzy Distance and its Basic Properties [PDF]
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
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GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM
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
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
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