Results 11 to 20 of about 556,147 (204)
Detecting intermediate protein conformations using algebraic topology [PDF]
BMC Bioinformatics, 2017 Background Understanding protein structure and dynamics is essential for understanding their function. This is a challenging task due to the high complexity of the conformational landscapes of proteins and their rugged energy levels. In particular, it is
Nurit Haspel +2 more
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Algebraic topology-based machine learning using MRI predicts outcomes in primary sclerosing cholangitis [PDF]
European Radiology Experimental, 2022 Background Primary sclerosing cholangitis (PSC) is a chronic cholestatic liver disease that can lead to cirrhosis and hepatic decompensation. However, predicting future outcomes in patients with PSC is challenging.
Yashbir Singh +20 more
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Application of Algebraic Topology to Homologous Recombination of DNA [PDF]
iScience, 2018 Summary: Brouwer's fixed point theorem, a fundamental theorem in algebraic topology proved more than a hundred years ago, states that given any continuous map from a closed, simply connected set into itself, there is a point that is mapped unto itself ...
Ido Braslavsky, Joel Stavans
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Dual attachment pairs in categorically-algebraic topology [PDF]
Applied General Topology, 2011 The paper is a continuation of our study on developing a new approach to (lattice-valued) topological structures, which relies on category theory and universal algebra, and which is called categorically-algebraic (catalg) topology.
Anna Frascella +2 more
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, 2018 This course is a first course in algebraic topology. The emphasis is on homology and cohomology theory, including cup products, Kunneth formulas, intersection pairings, and the Lefschetz fixed point ...
Marvin J. Greenberg, John R. Harper
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Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e [PDF]
Épijournal de Géométrie Algébrique, 2020 The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15] which gives a formula for the homotopy groups of the schematization of a
Bertrand Toën
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On the gamma spectrum of multiplication gamma acts
Kuwait Journal of Science, 2021 In this paper we introduce the concept of topological gamma act as a generalization of Zariski topology . Some topological properties of this topology are studied.
Mehdi S. Abbas, Samer A. Jubair
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Neutrosophic Vague Binary BCK/BCI-algebra [PDF]
Neutrosophic Sets and Systems, 2020 Ineradicable hindrances of the existing mathematical models widespread from probabilities to soft sets. These difficulties made up way for the opening of “neutrosophic set model’.
Remya. P. B , Francina Shalini. A
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An algorithm for calculating top-dimensional bounding chains [PDF]
PeerJ Computer Science, 2018 We describe the Coefficient-Flow algorithm for calculating the bounding chain of an $(n-1)$-boundary on an $n$-manifold-like simplicial complex $S$. We prove its correctness and show that it has a computational time complexity of O(|S(n−1)|) (where S(n−1)
J. Frederico Carvalho +3 more
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Cellular structures in Topology [PDF]
, 1990 This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini +4 more
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