Proof of the Fukui conjecture via resolution of singularities and related methods. V

DOI10.1007/S10910-011-9852-1zbMath1262.92073OpenAlexW2076834229WikidataQ123115627 ScholiaQ123115627MaRDI QIDQ645174

Shigeru Arimoto, Paul G. Mezey, Mark Spivakovsky, Keith F. Taylor, Eiji Yoshida

Publication date: 8 November 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-011-9852-1

zbMATH Keywords

resolution of singularitiesFukui conjecturematrix artasymptotic linearity theorem (ALT)repeat space theory (RST)asymptotic linearity theorem extension conjecture (ALTEC)

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Critical points of functions and mappings on manifolds (58K05)

Related Items (3)

Proof of the asymptotic linearity theorem extension conjecture (ALTEC) ⋮ Repeat space theory applied to carbon nanotubes and related molecular networks. III ⋮ Multidimensional magic mountains and matrix art for the generalized repeat space theory

Cites Work

• Fundamental notions for the second generation Fukui project and a prototypal problem of the normed repeat space and its super spaces
• Proof of the Fukui conjecture via resolution of singularities and related methods. IV
• Normed repeat space and its super spaces: Fundamental notions for the second generation Fukui project
• Proof of the Fukui conjecture via resolution of singularities and related methods. III
• Repeat space theory applied to carbon nanotubes and related molecular networks. II.
• New proof of the Fukui conjecture by the functional asymptotic linearity theorem
• Proof of the Fukui conjecture via resolution of singularities and related methods. I
• Proof of the Fukui conjecture via resolution of singularities and related methods. II
• Repeat space theory applied to carbon nanotubes and related molecular networks. I.
• Magic mountain and devil's staircase swapping problems

This page was built for publication: Proof of the Fukui conjecture via resolution of singularities and related methods. V