2017/08/01 by Mohammad Reza Molaei, Molaei, MohammadReza
Computer Science · #Computability, Logic, AI Algorithms #FOS: Computer and information sciences #Information Theory (cs.IT) #Neural Networks and Applications
paper · pdf · doi:10.48550/arxiv.1708.00483
openalex publication_date 2017/08/01 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
In this essay, a general case of information systems contains quantum\ninformation systems is considered. By presenting an algorithmic method a new\nkind of information topology is defined and considered. Continuous maps between\ntwo information topological spaces are studied. Moreover, open and compact\ninformation systems are taken into consideration. It is also proved that a\nfinite product of compact information systems is a compact information system.\nFollowing that, two methods for constructing new open covers for a class of\ncompact information systems are presented, and information topological entropy\nfor continuous self maps of an information topological space is considered. We\nshow that information topological entropy is an invariant object under a\nconjugate relation. Finally, as an applied example, a mathematical model for\nknowledge spread is introduced.\n