Volume 13 • Issue 1 • PP: 23-50 • 2026
New Concepts of MetaStructures: Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals
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A MetaStructure is a higher-level framework that treats entire collections of structures as single objects, equipped with natural operations that preserve isomorphisms across different domains. The term “Struc- ture” here refers broadly to mathematical systems as well as real-world models. An Iterated MetaStructure generalizes this idea recursively, generating successive layers in which structures of structures form deeper hierarchical meta-levels. In this work, we extend and investigate the properties of Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals through the lens of MetaStructures and Iterated MetaStructures.
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