Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Susmit Bagchi"'
Autor:
Susmit Bagchi
Publikováno v:
Mathematics, Vol 12, Iss 20, p 3282 (2024)
The topological Dehn twists have several applications in mathematical sciences as well as in physical sciences. The interplay between homotopy theory and Dehn twists exposes a rich set of properties. This paper generalizes the Dehn twists by proposin
Externí odkaz:
https://doaj.org/article/a4436595ba714b4986ebdc9799889690
Autor:
Susmit Bagchi
Publikováno v:
Symmetry, Vol 16, Iss 5, p 556 (2024)
The interactions between topology and algebraic geometry expose various interesting properties. This paper proposes the deformations of topological n-manifolds over the automorphic polynomial ring maps and associated isomorphic imbedding of locally f
Externí odkaz:
https://doaj.org/article/31a864fad668478b82d96695f8dce12d
Autor:
Susmit Bagchi
Publikováno v:
Symmetry, Vol 16, Iss 1, p 102 (2024)
The formulations of polynomials over a topological simplex combine the elements of topology and algebraic geometry. This paper proposes the formulation of simplicial polynomials and the properties of resulting topological manifolds in two classes, no
Externí odkaz:
https://doaj.org/article/67d101c116d6402db6cf99b39328d9ac
Autor:
Susmit Bagchi
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1784 (2023)
The interplays between topology and algebraic geometry present a set of interesting properties. In this paper, we comprehensively revisit the Bézout theorem in terms of topology, and we present a topological proof of the theorem considering n-dimens
Externí odkaz:
https://doaj.org/article/fa546b2dd9a64389926ecc7ef4ae289a
Autor:
Susmit Bagchi
Publikováno v:
Symmetry, Vol 15, Iss 3, p 574 (2023)
Topological spaces can be induced by various algebraic ordering relations such as, linear, partial and the inclusion-ordering of open sets forming chains and chain complexes. In general, the classifications of covering spaces are made by using fundam
Externí odkaz:
https://doaj.org/article/b6c61a56791148699a207c9db0e0388c
Autor:
Susmit Bagchi
Publikováno v:
Axioms, Vol 12, Iss 1, p 85 (2023)
Second-order Ordinary Differential Equations (ODEs) with discontinuous forcing have numerous applications in engineering and computational sciences. The analysis of the solution spaces of non-homogeneous ODEs is difficult due to the complexities in m
Externí odkaz:
https://doaj.org/article/60dcd3a540114c7caf87e13cafaa5913
Autor:
Susmit Bagchi
Publikováno v:
Symmetry, Vol 14, Iss 10, p 2222 (2022)
The space-time geometry is rooted in the Minkowski 4-manifold. Minkowski and Euclidean topological 4-manifolds behave differently in view of compactness and local homogeneity. As a result, Zeno sequences are selectively admitted in such topological s
Externí odkaz:
https://doaj.org/article/ae120354095e467a8f51c94c92d0899a
Autor:
Susmit Bagchi
Publikováno v:
Axioms, Vol 11, Iss 9, p 425 (2022)
The topological views of a measure space provide deep insights. In this paper, the sigma-set algebraic structure is extended in a Hausdorff topological space based on the locally compactable neighborhood systems without considering strictly (metrized
Externí odkaz:
https://doaj.org/article/9f3f0dd3c5f64a78bbea55a12e5addd7
Autor:
Susmit Bagchi
Publikováno v:
Symmetry, Vol 14, Iss 2, p 422 (2022)
The interplay between topological hyperconvex spaces and sigma-finite measures in such spaces gives rise to a set of analytical observations. This paper introduces the Noetherian class of k-finite k-hyperconvex topological subspaces (NHCs) admitting
Externí odkaz:
https://doaj.org/article/291dac8dcab242458ebee7199577648a
Autor:
Susmit Bagchi
Publikováno v:
Symmetry, Vol 13, Iss 12, p 2382 (2021)
In general, the braid structures in a topological space can be classified into algebraic forms and geometric forms. This paper investigates the properties of a braid structure involving 2-simplices and a set of directed braid-paths in view of algebra
Externí odkaz:
https://doaj.org/article/23ba1fd4d7294afc96dacde2703540a6