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Dynamic Tangled Derivative Logic of Metric Spaces [PDF]
AAAI Conference on Artificial Intelligence, 2023 Dynamical systems are abstract models of interaction between space and time. They are often used in fields such as physics and engineering to understand complex processes, but due to their general nature, they have found applications for studying ...
David Fern'andez-Duque, Yoàv Montacute
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Universal Structures in C-Linear Enumerative Invariant Theories [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 An enumerative invariant theory in Algebraic Geometry, Differential Geometry, or Representation Theory, is the study of invariants which ‘count’ τ -(semi)stable objects E with fixed topological invariants JEK = α in some geometric problem, by means of a ...
Jacob Gross, D. joyce, Yuuji Tanaka
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Abstract action spaces and their topological and dynamic properties [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2023 We introduce the concept of action space, a set $\boldsymbol{X}$ endowed with an action cost $\mathsf{a}:(0,+\infty)\times \boldsymbol{X}\times \boldsymbol{X}\to [0,+\infty)$ satisfying suitable axioms, which turn out to provide a `dynamic ...
Riccarda Rossi, Giuseppe Savar'e
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Journal of Inequalities and Applications, 2012 In this article, we shall introduce a new class of ideal convergent (briefly I-convergent) sequence spaces using, infinite matrix, an Orlicz function and difference operator defined on n-normed spaces.
E. Savaş
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Persistent cup product structures and related invariants [PDF]
Journal of Applied and Computational Topology, 2022 One-dimensional persistent homology is arguably the most important and heavily used computational tool in topological data analysis. Additional information can be extracted from datasets by studying multi-dimensional persistence modules and by utilizing ...
Facundo M'emoli +2 more
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$ N_b $-fuzzy metric spaces with topological properties and applications
AIMS Mathematics, 2022 Our aim is to introduce the notion of $ N_{b} $-fuzzy metric space (FMS). We also define quasi $ N $-FMS, and pseudo $ N_{b} $-FMS with examples and counterexamples and prove a decomposition theorem for pseudo $ N_{b} $-FMS.
Jerolina Fernandez +3 more
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, 2011 We introduce a new class of ideal convergent (shortly I-convergent) sequence spaces using an Orlicz function and difference operator of order 𝑠≥1 defined over the n-normed spaces. We investigate these spaces for some linear topological structures.
B. Hazarika
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, 2017 Let $\mathbf{M}=(M_k)$ be a Musielak-Orlicz function. In this article, we introduce a new class of ideal convergent sequence spaces defined by Musielak-Orlicz function, using an infinite matrix, and a generalized difference matrix operator $B_{(i)}^{p ...
B. Hazarika, Karan Tamanag
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A new Outlook on Omega Closed Functions in Bitopological Spaces and Related Aspects
European Journal of Pure and Applied MathematicsMany studies have employed a variety of techniques to further investigate topological space, particularly the notion of bitopological spaces, due to the significance of topological space in data processing as well as certain implementations.
Ali A. Atoom +6 more
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Linear subsets of nonlinear sets in topological vector spaces
, 2013 For the last decade there has been a generalized trend in mathematics on the search for large algebraic structures (linear spaces, closed subspaces, or infinitely generated algebras) composed of mathematical objects enjoying certain special properties ...
L. González +2 more
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