Results 1 to 10 of about 305,462 (309)
Annotation-free delineation of prokaryotic homology groups. [PDF]
PLoS Computational Biology, 2022 Phylogenomic studies of prokaryotic taxa often assume conserved marker genes are homologous across their length. However, processes such as horizontal gene transfer or gene duplication and loss may disrupt this homology by recombining only parts of genes,
Yongze Yin, Huw A Ogilvie, Luay Nakhleh
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Homology groups in CR-warped products of complex space forms [PDF]
HeliyonIn the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in a complex ...
Yanlin Li +4 more
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Three Novel Genomes Broaden the Wild Side of the Capsicum Pangenome [PDF]
Plant DirectThis study presents three genome assemblies within the Capsicum genus, enabling comprehensive comparative analyses for the Annuum and Baccatum complexes within the genus.
Christina Papastolopoulou +15 more
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On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature
Mathematics, 2021 In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li +3 more
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The Homology of Warped Product Submanifolds of Spheres and Their Applications
Mathematics, 2023 The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundamental groups.
Lamia Saeed Alqahtani +3 more
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Homology of gaussian groups [PDF]
Annales de l'Institut Fourier, 2003 We describe new combinatorial methods for constructing explicit free resolutions of ℤ by ℤ G -
Dehornoy, Patrick, Lafont, Yves
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On the homology groups $H_k(\mathbb{C}\Omega_n)$, $k=1, ..., n$
Researches in Mathematics, 2021 In the paper the homology groups of the $(2n+1)$-dimensional CW-complex $\mathbb{C}\Omega_n$ are investigated. The spaces $\mathbb{C}\Omega_n$ consist of complex-valued functions and generalize the widely known in the approximation theory spaces ...
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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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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Persistent homology of groups [PDF]
Journal of Group Theory, 2011 We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fairly strong homological invariants for p-groups of order at most 81. The strength of these invariants, and some elementary theoretical properties, suggest that persistent ...
Ellis, Graham, King, Simon
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