Results 1 to 10 of about 539,595 (279)
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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Persistent homology of groups [PDF]
Journal of Group Theory, 2010 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.
Ellis, Graham, King, Simon A.
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Homology of Gaussian groups [PDF]
Annales de l'Institut Fourier, 2001 We describe new combinatorial methods for constructing an explicit free resolution of Z by ZG-modules when G is a group of fractions of a monoid where enough least common multiples exist (``locally Gaussian monoid''), and, therefore, for computing the ...
Dehornoy, Patrick, Lafont, Yves
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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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Homology groups of cubical sets [PDF]
Applied Categorical Structures, 2018 The paper is devoted to homology groups of cubical sets with coefficients in contravariant systems of Abelian groups. The study is based on the proof of the assertion that the homology groups of the category of cubes with coefficients in the diagram of ...
Husainov, Ahmet A.
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The homology of the Higman-Thompson groups [PDF]
Inventiones mathematicae, 2018 We prove that Thompson's group $V$ is acyclic, answering a 1992 question of Brown in the positive. More generally, we identify the homology of the Higman-Thompson groups $V_{n,r}$ with the homology of the zeroth component of the infinite loop space of ...
Szymik, Markus, Wahl, Nathalie
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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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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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