Results 31 to 40 of about 1,564 (187)
A Novel Robust Topological Denoising Method Based on Homotopy Theory for Virtual Colonoscopy
Axioms, 2023 Virtual colonoscopy plays an important role in polyp detection of colorectal cancer. Noise in the colon data acquisition process can result in topological errors during surface reconstruction.
Ming Ma, Wei Chen, Na Lei, Xianfeng Gu
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On homotopy of walks and spherical maps in homotopy type theory [PDF]
Proceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2022 We work with combinatorial maps to represent graph embeddings into surfaces up to isotopy. The surface in which the graph is embedded is left implicit in this approach. The constructions herein are proof-relevant and stated with a subset of the language of homotopy type theory. This article presents a refinement of one characterisation of embeddings in
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Advanced Science, EarlyView.An electro‐templating strategy directs the relaxation of cholesteric finger loops into discrete concentric rings whose geometry is electrically programmed. The photopolymerized structures retain the topological defect pattern and, upon heating, show reversible, castle‐like surface modulation.
Jacques A. Peixoto +4 more
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Radiative Hybrid Nanofluid Flow Over a Porous Riga Surface: A Fuzzy–ANN Modeling Approach
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This study proposes a fuzzy–ANN model to investigate the nonlinear thermal transport in a tangent hyperbolic (Tanh) hybrid nanofluid flow past a porous Riga surface, considering the effects of Rosseland diffusion, chemical reactions, and internal volumetric heating.
Azad Hussain, Rabia Zetoon, Reeha Iqbal
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Homotopy theory of homotopy algebras [PDF]
Annales de l'Institut Fourier, 2020 This paper studies the homotopy theory of algebras and homotopy algebras over an operad. It provides an exhaustive description of their higher homotopical properties using the more general notion of morphism called infinity-morphism. The method consists in using the operadic calculus to endow the category of coalgebras over the Koszul dual cooperad or ...
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This study carries significant consequences in various engineering applications, such as cooling rotating disk surfaces, improving chemical reactor performance, and designing filtration systems. Considering these main applications in view, the aim of this study is to investigate time‐dependent Casson hybrid nanofluid flow on a permeable ...
Ebrahem A. Algehyne +6 more
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Israel Journal of Mathematics, 2008 We give a homotopy theoretic characterization of stacks on a site $\cC$ as the {\it homotopy sheaves} of groupoids on $\cC$. We use this characterization to construct a model category in which stacks are the fibrant objects. We compare different definitions of stacks and show that they lead to Quillen equivalent model categories.
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Homotopy in statistical physics
Condensed Matter Physics, 2006 In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects.
R.Kenna
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Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$
Mathematische Nachrichten, EarlyView.ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
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