An arithmetic analysis of closed surfaces

DOI10.1090/TRAN/8915MaRDI QIDQ6567114

Alexander Melnikov, Matthew Harrison-Trainor

Publication date: 4 July 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Theory of numerations, effectively presented structures (03D45) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Title not available (Why is that?)
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• Recursive unsolvability of group theoretic problems
• Two complexes which are homeomorphic but combinatorially distinct
• The isomorphism problem for torsion-free abelian groups is analytic complete
• Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3- Mannigfaltigkeiten
• On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds
• Space-filling curves
• Concerning a set of postulates for plane analysis situs.
• Transformation der Kurven auf zweiseitigen Flächen.
• Computable structures and the hyperarithmetical hierarchy
• Algorithmic unsolvability of the triviality problem for multidimensional knots
• Computable analysis and classification problems
• On degree spectra of topological spaces
• Algorithmic homeomorphism of 3-manifolds as a corollary of geometrization
• On computable numbers, with an application to the Entscheidungsproblem. A correction.
• On computable numbers, with an application to the Entscheidungsproblem.
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• Local Compactness for Computable Polish Metric Spaces is $$\varPi ^1_1$$-complete
• Computability Results Used in Differential Geometry
• Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
• Undecidable problems: a sampler
• The Jordan-Schonflies Theorem and the Classification of Surface
• A Characterization of the 2-Sphere in Terms of Jordan Curve Separation
• The computational complexity of torsion-freeness of finitely presented groups
• A Characterization of the Unit Sphere
• On a question of Kalimullin
• UNIFORM PROCEDURES IN UNCOUNTABLE STRUCTURES
• Computable topological groups and Pontryagin duality
• The Classification Problem for Compact Computable Metric Spaces
• Computability Theory and Differential Geometry
• The Kline sphere characterization problem
• ON THE COMPLEXITY OF CLASSIFYING LEBESGUE SPACES
• COMPUTABILITY OF POLISH SPACES UP TO HOMEOMORPHISM
• The word problem
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
• Variational problems for Riemannian functionals and arithmetic groups

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