The monotonic sequence theorem and measurement of lengths and areas in axiomatic non-standard hyperrational analysis

DOI10.3390/axioms8020042zbMath1432.26009OpenAlexW2938227772MaRDI QIDQ2306310

Nikita Y. Lovyagin, Yuri N. Lovyagin

Publication date: 23 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms8020042

zbMATH Keywords

axiomatic non-standard analysishyperrational numbersline segment measurement

Mathematics Subject Classification ID

Nonstandard analysis (26E35)

Cites Work

• Statistical physics for cosmic structures
• A model for intuitionistic non-standard arithmetic
• Riemann zeta fractional derivative-functional equation and link with primes
• Mathematics of Bioinformatics
• A functional approach to nonstandard measure theory
• Nonstandard Set Theory
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Internal set theory: A new approach to nonstandard analysis
• Über die Nicht-charakterisierbarkeit der Zahlenreihe mittels endlich oder abzählbar unendlich vieler Aussagen mit ausschliesslich Zahlenvariablen
• The Spectral Theorem — A Non‐Standard Approach
• Non-standard analysis
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