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On the computational properties of basic mathematical notions
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/1521-3870(200201)48:1<111::aid-malq111>3.0.co;2-6openalex-snapshot
Omniscience Principles and Functions of Bounded Variation
inferredcites →https://doi.org/10.1002/cpa.21620openalex-snapshot
BMO‐Type Norms Related to the Perimeter of Sets
inferredcites →https://doi.org/10.1002/sapm19243272openalex-snapshot
The Quadratic Variation of a Function and its Fourier Coefficients
inferredcites →https://doi.org/10.1007/11856.1565-8511openalex-snapshot
Israel Journal of Mathematics
inferredcites →https://doi.org/10.1007/978-1-4612-1015-3openalex-snapshot
Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/978-3-030-22996-2_7openalex-snapshot
Higher Type Recursion for Transfinite Machine Theory
inferredcites →https://doi.org/10.1007/978-3-030-31041-7_2openalex-snapshot
Constructive Continuity of Increasing Functions
inferredcites →https://doi.org/10.1007/978-3-642-86894-8openalex-snapshot
Grundlagen der Mathematik I
inferredcites →https://doi.org/10.1007/978-3-642-86896-2openalex-snapshot
Grundlagen der Mathematik II
inferredcites →https://doi.org/10.1007/978-3-662-47992-6_3openalex-snapshot
Theory of Computability Models
inferredcites →https://doi.org/10.1007/bf02392019openalex-snapshot
An extension of the Nevanlinna theory
inferredcites →https://doi.org/10.1007/bf02419243openalex-snapshot
Sur les fonctions de variables réelles
inferredcites →https://doi.org/10.1007/bf02421552openalex-snapshot
Allgemeine Untersuchungen über Rectification der Curven
inferredcites →https://doi.org/10.1007/s00153-011-0256-5openalex-snapshot
The Dirac delta function in two settings of Reverse Mathematics
inferredcites →https://doi.org/10.1007/s00224-004-1193-zopenalex-snapshot
Effective Jordan Decomposition
inferredcites →https://doi.org/10.1016/0304-3975(77)90044-5openalex-snapshot
LCF considered as a programming language
inferredcites →https://doi.org/10.1016/0304-3975(93)90095-bopenalex-snapshot
A type-theoretical alternative to ISWIM, CUCH, OWHY
inferredcites →https://doi.org/10.1016/j.apal.2019.05.007openalex-snapshot
The strength of compactness in Computability Theory and Nonstandard Analysis
inferredcites →https://doi.org/10.1016/j.apal.2020.102788openalex-snapshot
Pincherle's theorem in reverse mathematics and computability theory
inferredcites →https://doi.org/10.1016/j.bulsci.2011.12.004openalex-snapshot
Hitchhikerʼs guide to the fractional Sobolev spaces
inferredcites →https://doi.org/10.1016/s0049-237x(98)80020-7openalex-snapshot
Gödel’s Functional (“Dialectica”) Interpretation
inferredcites →https://doi.org/10.1016/s0166-8641(98)00169-2openalex-snapshot
Darboux-like functions within the classes of Baire one, Baire two, and additive functions
inferredcites →https://doi.org/10.1017/9781316755983openalex-snapshot
Reflections on the Foundations of Mathematics
inferredcites →https://doi.org/10.1017/cbo9780511581007openalex-snapshot
Subsystems of Second Order Arithmetic
inferredcites →https://doi.org/10.1017/cbo9781139108133openalex-snapshot
Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory
inferredcites →https://doi.org/10.1017/jsl.2019.69openalex-snapshot
COMPUTABILITY THEORY, NONSTANDARD ANALYSIS, AND THEIR CONNECTIONS
inferredcites →https://doi.org/10.1017/jsl.2022.71openalex-snapshot
ON ROBUST THEOREMS DUE TO BOLZANO, WEIERSTRASS, JORDAN, AND CANTOR
inferredcites →https://doi.org/10.1080/00029890.2003.11920024openalex-snapshot
An Elementary Proof of Lebesgue's Differentiation Theorem
inferredcites →https://doi.org/10.1080/19300980.1951.12467243openalex-snapshot
The Theory of Functions of a Real Variable
inferredcites →https://doi.org/10.1090/proc/12671openalex-snapshot
Measure theory and higher order arithmetic
inferredcites →https://doi.org/10.1090/s0002-9904-1960-10518-6openalex-snapshot
On a problem of Kleene’s
inferredcites →https://doi.org/10.1090/s0002-9939-1974-0345058-8openalex-snapshot
A Note on the Dugundji Extension Theorem
inferredcites →https://doi.org/10.1090/s0002-9939-1992-1072090-2openalex-snapshot
A Riemann Type Definition of a Variational Integral
inferredcites →https://doi.org/10.1090/s0002-9947-1959-0102480-9openalex-snapshot
Recursive functionals and quantifiers of finite types. I
inferredcites →https://doi.org/10.1090/s0002-9947-1968-0244049-7openalex-snapshot
Recursive Pseudo-Well-Orderings
inferredcites →https://doi.org/10.1090/trans2/034/02openalex-snapshot
On a theorem of functional analysis
inferredcites →https://doi.org/10.1093/logcom/exaa049openalex-snapshot
Open sets in computability theory and reverse mathematics
inferredcites →https://doi.org/10.1093/logcom/exaa080openalex-snapshot
The Axiom of Choice in computability theory and Reverse Mathematics with a cameo for the Continuum Hypothesis
inferredcites →https://doi.org/10.1093/oso/9780198502456.001.0001openalex-snapshot
Functions of Bounded Variation and Free Discontinuity Problems
inferredcites →https://doi.org/10.1112/plms/s2-42.1.230openalex-snapshot
On Computable Numbers, with an Application to the Entscheidungsproblem
inferredcites →https://doi.org/10.1112/s0024609399006736openalex-snapshot
A Constructive Look at Functions of Bounded Variation
inferredcites →https://doi.org/10.1142/6284openalex-snapshot
Domain-Theoretic Foundations of Functional Programming
inferredcites →https://doi.org/10.1142/s0219061319500016openalex-snapshot
On the mathematical and foundational significance of the uncountable
inferredcites →https://doi.org/10.1215/00294527-2020-0021openalex-snapshot
Reverse Mathematics of Topology: Dimension, Paracompactness, and Splittings
inferredcites →https://doi.org/10.1515/gsnaaopenalex-snapshot
de Gruyter Series in Nonlinear Analysis and Applications
inferredcites →https://doi.org/10.21136/cmj.1991.102500openalex-snapshot
An integral defined by approximating $BV$ partitions of unity
inferredcites →https://doi.org/10.2168/lmcs-10(4:16)2014openalex-snapshot
Bounded variation and the strength of Helly's selection theorem
inferredcites →https://doi.org/10.2307/2274221openalex-snapshot
Effective discontinuity and a characterisation of the superjump
inferredcites →https://doi.org/10.2307/2694969openalex-snapshot
Bounded variation implies regulated: a constructive proof
inferredcites →https://doi.org/10.2307/44152754openalex-snapshot
SUMS OF QUASICONTINUOUS FUNCTIONS DEFINED ON PSEUDOMETRIZABLE SPACES
inferredcites →https://doi.org/10.25972/opus-23515openalex-snapshot
Functions of Bounded Variation: Theory, Methods, Applications
inferredcites →https://doi.org/10.4064/fm-48-3-313-320openalex-snapshot
Hyperarithmetical quantifiers
inferredcites →https://doi.org/10.4064/fm-7-1-225-236openalex-snapshot
Sur les lignes rectifiables et les surfaces dont l'aire est finie
inferredcites →https://doi.org/10.4064/sm-44-2-107-117openalex-snapshot
On convergence of Fourier series of functions of generalized bounded variation
inferredcites →https://doi.org/10.48550/arxiv.2007.07560openalex-snapshot
On the uncountability of $\mathbb{R}$
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-031-36978-0_4openalex-snapshot
The Non-normal Abyss in Kleene’s Computability Theory
inferred← citeshttps://doi.org/10.1007/978-3-031-64309-5_10openalex-snapshot
On the Computational Properties of Weak Continuity Notions
inferred← citeshttps://doi.org/10.1007/978-3-032-31348-5_34openalex-snapshot
On the Computational Properties of Ambivalent Sets and Functions
inferred← citeshttps://doi.org/10.1016/j.apal.2024.103505openalex-snapshot
On the logical and computational properties of the Vitali covering theorem
inferred← citeshttps://doi.org/10.1017/jsl.2022.71openalex-snapshot
ON ROBUST THEOREMS DUE TO BOLZANO, WEIERSTRASS, JORDAN, AND CANTOR
inferred← citeshttps://doi.org/10.1017/jsl.2023.42openalex-snapshot
BIG IN REVERSE MATHEMATICS: THE UNCOUNTABILITY OF THE REALS
inferred← citeshttps://doi.org/10.1017/jsl.2023.65openalex-snapshot
BIG IN REVERSE MATHEMATICS: MEASURE AND CATEGORY
inferred← citeshttps://doi.org/10.1017/jsl.2024.51openalex-snapshot
APPROXIMATION THEOREMS THROUGHOUT REVERSE MATHEMATICS
inferred← citeshttps://doi.org/10.1093/logcom/exae048openalex-snapshot
On some computational properties of open sets
inferred← citeshttps://doi.org/10.1112/blms.70019openalex-snapshot
Sometimes tame, sometimes wild: Weak continuity
inferred← citeshttps://doi.org/10.1142/s0219061324500077openalex-snapshot
The Biggest Five of Reverse Mathematics
inferred← citeshttps://doi.org/10.3233/com-230475openalex-snapshot
Exploring the abyss in Kleene’s computability theory
inferred← citeshttps://doi.org/10.47540/ijqr.v3i1.841openalex-snapshot
Advantages of a Free Software Culture for Qualitative Researchers in the Social Sciences
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