The Topological Foundation of Information Theory

Information theory has been conducted in spaces with countable bases (Type I). Weestablish a theory of information in spaces with uncountable bases (Type II). Type I isone coordinate of Type II. All previous work in Type I remains valid. Type II opens newdomains where Type I methods cannot be formulated.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-14
DOI
https://doi.org/10.5281/zenodo.17613180
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

The Topological Foundation of Information Theory

Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
article

The Topological Foundation of Information Theory

article en

Abstract

Information theory has been conducted in spaces with countable bases (Type I). Weestablish a theory of information in spaces with uncountable bases (Type II). Type I isone coordinate of Type II. All previous work in Type I remains valid. Type II opens newdomains where Type I methods cannot be formulated.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 39%
Computability, Logic, AI Algorithms
DOIOpen Access PDFOpenAlex
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