Results 11 to 20 of about 539,595 (279)
The homology groups $H_{n+1} \left( \mathbb{C}\Omega_n \right)$
Researches in Mathematics, 2022 The topic of the paper is the investigation of the homology groups of the $(2n+1)$-dimensional CW-complex $\mathbb{C}\Omega_n$. The spaces $\mathbb{C}\Omega_n$ consist of complex-valued functions and are the analogue of the spaces $\Omega_n$, widely ...
A.M. Pasko
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Generalized Homology Groups [PDF]
Proceedings of the National Academy of Sciences, 1940 Not ...
Mayer, W., Campbell, A. D.
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Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces
Journal of Mathematics, 2021 In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ωp+q in the hyperbolic space ℍm−1 satisfy various extrinsic restrictions, then Ωp+q has no stable integral currents, and its ...
Yanlin Li +3 more
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A review of some properties of persistent homology
Desimal, 2023 Every day, enormous complex geometric data are accumulating rapidly, and qualitative analysis is needed, which cannot be done properly without studying the shapes of those data.
Md. Safik Ullah +5 more
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Computation of Homology Groups and Generators [PDF]
Computers & Graphics, 2005 Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully explored in image applications. We present an algorithm that computes the whole homology of an object of arbitrary dimension: Betti numbers, torsion coefficients and generators.
Peltier, Samuel +3 more
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Homology Groups of a Pipeline Petri Net
Моделирование и анализ информационных систем, 2013 Petri net is said to be elementary if every place can contain no more than one token. In this paper, it is studied topological properties of the elementary Petri net for a pipeline consisting of n functional devices. If the work of the functional devices
A. A. Husainov +2 more
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The homology groups of the space $\Omega_n(m)$
Researches in Mathematics, 2019 The spaces $\Omega_n(m)$ that generalize the spaces $\Omega_n$ are introduced. In order to investigate the homotopy invariants of the space $\Omega_n(m)$ the CW-structure of the space $\Omega_n(m)$ is built.
A.M. Pasko
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Euler class groups, and the homology of elementary and special linear groups [PDF]
, 2016 We prove homology stability for elementary and special linear groups over rings with many units improving known stability ranges. Our result implies stability for unstable Quillen K-groups and proves a conjecture of Bass. For commutative local rings with
Schlichting, Marco
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Knot concordance and homology sphere groups [PDF]
, 2017 We study two homomorphisms to the rational homology sphere group. If $\psi$ denotes the inclusion homomorphism from the integral homology sphere group, then using work of Lisca we show that the image of $\psi$ intersects trivially with the subgroup of ...
Aceto, Paolo, Larson, Kyle
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Path homology theory of edge-colored graphs
Open Mathematics, 2021 In this paper, we introduce the category and the homotopy category of edge-colored digraphs and construct the functorial homology theory on the foundation of the path homology theory provided by Grigoryan, Muranov, and Shing-Tung Yau.
Muranov Yuri V., Szczepkowska Anna
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