The topology of representational geometry. [PDF]
Brown S, Farivar R.
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Untargeted Chemical Profiling of Two-Dimensional Gas Chromatography Coupled with High-Resolution Mass Spectrometry Data for Botrytized Wines via Topological Data Analysis. [PDF]
Koljančić N +5 more
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PLNet: Persistent Laplacian neural network for protein-protein binding free energy prediction. [PDF]
Xu X, Wang C, Wei GW, Chen J.
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CT habitat radiomics and topological data analysis based on interpretable machine learning for prediction of pancreatic ductal adenocarcinoma pathological grading. [PDF]
Song J +7 more
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Disrupted modular and hub topology in right temporal lobe epilepsy: a multimodal MRI network analysis. [PDF]
Qu C +5 more
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TOPOLOGICAL CATEGORIES AND CLOSURE OPERATORS
Quaestiones Mathematicae, 1988Abstract It is shown that the category CS of closure spaces is a topological category. For each epireflective subcategory A of a topological category X a functor F A :X → X is defined and used to extend to the general case of topological categories some results given in [4], [5] and [10] for epireflective subcategories of the category Top of ...
Dikranjan D, Giuli E, TOZZI, Anna
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Realizations of Topological Categories
Applied Categorical Structures, 2001The author investigates the existence of categories \({\mathcal U}\) that are (concretely) universal for (concrete) categories with property \(P\), i.e., (a) \({\mathcal U}\) has \(P\) and (b) each (concrete) category with \(P\) can be fully (completely) imbedded into \({\mathcal U}\). Main results: 1.
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Met-Like Categories Amongst Concrete Topological Categories
Applied Categorical Structures, 2018For any quantale \(\mathsf{V}\), \(\mathsf{V}\)-\(\mathbf{Cat}\) is well known to be a concrete topological category which symmetric monoidal closed. The principal objective in this paper is to consider how to recognize full bireflective subcategories of such quantale-induced topological categories amongst all concrete topological categories, which is ...
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