Results 71 to 80 of about 4,715,878 (299)
On the largest Hausdorff compactification of a Hausdorff convergence space [PDF]
Bulletin of the Australian Mathematical Society, 1977 For a Hausdorff convergence space, necessary and sufficient conditions for its Richardson compactification to be the largest Hausdorff compactification are found and by modifying the convergence structure of the Richardson compactification, it is shown that the largest Hausdorff compactification, whenever it exists, is given by that modified Richardson
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Interpreting Non-Hausdorff (Generalized) Manifolds in General Relativity
Philosophia Scientiæ, 2020 The article investigates the relations between Hausdorff and non-Hausdorff manifolds as objects of general relativity. We show that every non-Hausdorff manifold can be seen as a result of gluing together some Hausdorff manifolds.
Joanna Luc, T. Placek
semanticscholar +1 more source
Advanced Intelligent Systems, EarlyView.Soft robots capable of morphing into various 3D shapes are crucial for applications like human‐machine interfaces and biological manipulation. However, controlling 3D shape‐morphing robots with soft actuators remains a challenge. This work introduces a machine learning model that maps complex 3D deformations to control inputs, enabling robots to mimic ...
Jue Wang +3 more
wiley +1 more source
Nonseparated manifolds and completely unstable flows
International Journal of Mathematics and Mathematical Sciences, 1987 We define an order structure on a nonseparated n-manifold. Here, a nonseparated manifold denotes any topological space that is locally Euclidean and has a countable basis; the usual Hausdorff separation property is not required.
Sudhir K. Goel
doaj +1 more source
Hausdorff dimension and the Weil-Petersson extension to quasifuchsian space [PDF]
, 2010 We consider a natural non-negative two-form G on quasifuchsian space that extends the Weil-Petersson metric on Teichmuller space. We describe completely the positive definite locus of G, showing that it is a positive definite metric off the fuchsian ...
M. Bridgeman
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Advanced Intelligent Systems, EarlyView.This study proposes RefineCatDiff, a refinement framework for high‐quality medical image segmentation. By developing a categorical distribution‐based discrete diffusion process for refinement, the framework aligns well with the characteristics of image segmentation tasks. Experimental results on multiple datasets across different modalities demonstrate
Feng Liu +8 more
wiley +1 more source
Mainstream Artificial Intelligence Technologies in Contemporary Ophthalmology
Advanced Intelligent Systems, EarlyView.This review explores the latest artificial intelligence (AI) technologies in ophthalmology, focusing on four key data types: medical imaging, electronic health records, robotic‐assisted surgery, and genomics. It examines the structural features, use cases, clinical goals, and evaluation metrics of various AI algorithms, while also introducing emerging ...
Shiqi Yin +9 more
wiley +1 more source
On the cardinality of certain Hausdorff spaces
Discrete Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zoltán Szentmiklóssy +5 more
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Fixed point results via a Hausdorff controlled type metric
, 2020 In this paper, we establish that every controlled metric space ( X , d α ) $(X, d_{\alpha })$ induces a Hausdorff controlled metric ( H α , CLD ( X ) ) $(\textit{H}_{\alpha }, \textit{CLD}(X))$ on the class of closed subsets of X which is also complete ...
N. Alamgir +3 more
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Reflecting Lindel\"of and converging omega_1-sequences
, 2013 We deal with a conjectured dichotomy for compact Hausdorff spaces: each such space contains a non-trivial converging omega-sequence or a non-trivial converging omega_1-sequence. We establish that this dichotomy holds in a variety of models; these include
Dow, Alan, Hart, Klaas Pieter
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