Titlebook: Advances in Topology and Their Interdisciplinary Applications; Santanu Acharjee Book 2023 The Editor(s) (if applicable) and The Author(s),

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,Filter Versus Ideal on Topological Spaces,op a secret information-sharing scheme in topological cryptography. This new secret-sharing scheme is developed for secret information sharing between two military groups to conduct joint operations on a certain day.

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,Topological Approaches for Vector Variational Inequality Problems,ty and lower semi-continuity, respectively. Admissibility of function space topology and convergence of net of sets are used as major tools towards achieving this goal. Topological properties of the solution sets of VVI and GVVI problems are also discussed.

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,Topological Aspects of Granular Computing,h crisp sets, to work in granular computing and thus, we restrict ourselves only to crisp set-based granular computing. At last, we discuss some feasible ideas from biology and microscopy, which may inspire the experts of granular computing to develop new theories based on crisp sets and realities of nature.

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,On Quasi-uniformities, Function Spaces and Atoms: Remarks and Some Questions,with respect to the well-known exponential laws. These quasi-uniformities will not necessarily be atoms, thus we state the following problem: how can one define a correspondence between the atoms of the lattice of quasi-uniformities, and those atoms that are in the lattice of all quasi-uniformities on ., in the function space .?

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