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A Topological Characterization of ITBM–Representable Relational Structures Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2026, Volume: 64, Number: 6, Pages: 432-434 Pages count : 3 DOI: 10.1007/s10469-026-09845-1
Tags computable structures, infinite time Blum–Shub–Smale machines, computations over the reals, ITBM, Borel hierarchy
Authors Morozov A.S. 1,2
Affiliations
1 Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences
2 Novosibirsk State University, Novosibirsk, Russia

Funding (1)

1 Russian Science Foundation 23-11-00170

Abstract: We describe relational structures of finite signature representable by means of infinite time Blum–Shub–Smale machines in terms of Borel hierarchy on Baire and Cantor Polish spaces.
Cite: Morozov A.S.
A Topological Characterization of ITBM–Representable Relational Structures
Algebra and Logic. 2026. V.64. N6. P.432-434. DOI: 10.1007/s10469-026-09845-1 WOS Scopus OpenAlex
Dates:
Submitted: May 5, 2025
Accepted: May 27, 2026
Published print: Aug 27, 2026
Published online: Aug 27, 2026
Identifiers:
≡ Web of science: WOS:001861385500001
≡ Scopus: 2-s2.0-105048599576
≡ OpenAlex: W7204434727
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