Closed choice and a uniform low basis theorem
From MaRDI portal
Publication:424541
DOI10.1016/j.apal.2011.12.020zbMath1251.03082arXiv1002.2800OpenAlexW2044009111MaRDI QIDQ424541
Vasco Brattka, Matthew De Brecht, Arno Pauly
Publication date: 1 June 2012
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.2800
computable functionscomputable analysisBorel complexityclosed choice principlesmodels of hypercomputationWeihrauch reducibility
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (48)
On the uniform computational content of the Baire category theorem ⋮ Comparing representations for function spaces in computable analysis ⋮ Reduction games, provability and compactness ⋮ Effective aspects of Hausdorff and Fourier dimension ⋮ Inside the Muchnik degrees. I: Discontinuity, learnability and constructivism ⋮ Computability and Analysis, a Historical Approach ⋮ The Brouwer Fixed Point Theorem Revisited ⋮ On the existence of a connected component of a graph ⋮ A topological view on algebraic computation models ⋮ Computability on the Countable Ordinals and the Hausdorff-Kuratowski Theorem (Extended Abstract) ⋮ Unnamed Item ⋮ Algebraic properties of the first-order part of a problem ⋮ A comparison of concepts from computable analysis and effective descriptive set theory ⋮ The Bolzano-Weierstrass theorem is the jump of weak Kőnig's lemma ⋮ Computable Stone spaces ⋮ On the uniform computational content of computability theory ⋮ Direct construction of Scott ideals ⋮ De groot duality for represented spaces ⋮ On the complexity of learning programs ⋮ ON THE UNIFORM COMPUTATIONAL CONTENT OF RAMSEY’S THEOREM ⋮ COMPUTABLY COMPACT METRIC SPACES ⋮ Real computation with least discrete advice: a complexity theory of nonuniform computability with applications to effective linear algebra ⋮ Reverse Mathematics of Matroids ⋮ The Vitali Covering Theorem in the Weihrauch Lattice ⋮ Many-one reductions and the category of multivalued functions ⋮ Inside the Muchnik degrees. II: The degree structures induced by the arithmetical hierarchy of countably continuous functions ⋮ Completion of choice ⋮ Unnamed Item ⋮ FINDING DESCENDING SEQUENCES THROUGH ILL-FOUNDED LINEAR ORDERS ⋮ On the algebraic structure of Weihrauch degrees ⋮ On the strength of marriage theorems and uniformity ⋮ Representations of Analytic Functions and Weihrauch Degrees ⋮ On the topological aspects of the theory of represented spaces ⋮ Towards computable analysis on the generalised real line ⋮ Automatic learning from positive data and negative counterexamples ⋮ On uniform relationships between combinatorial problems ⋮ Unnamed Item ⋮ Connected choice and the Brouwer fixed point theorem ⋮ Computability of the Radon-Nikodym Derivative ⋮ Decomposing Borel functions using the Shore–Slaman join theorem ⋮ THE OPEN AND CLOPEN RAMSEY THEOREMS IN THE WEIHRAUCH LATTICE ⋮ SEARCHING FOR AN ANALOGUE OF ATR0 IN THE WEIHRAUCH LATTICE ⋮ WEIHRAUCH GOES BROUWERIAN ⋮ Probabilistic computability and choice ⋮ Unnamed Item ⋮ Computability of Subsets of Metric Spaces ⋮ Weihrauch Complexity in Computable Analysis ⋮ Universality, optimality, and randomness deficiency
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On degrees of recursive unsolvability
- Topological properties of concept spaces (full version)
- How incomputable is the separable Hahn-Banach theorem?
- Descriptive set theory
- Classical recursion theory. The theory of functions and sets of natural numbers
- Classical recursion theory. Vol. II
- A blend of methods of recursion theory and topology.
- Computability on subsets of metric spaces.
- Mind change complexity of inferring unbounded unions of restricted pattern languages from positive data
- Real hypercomputation and continuity
- On the (semi)lattices induced by continuous reducibilities
- Weihrauch degrees, omniscience principles and weak computability
- Effective Choice and Boundedness Principles in Computable Analysis
- Effective Borel measurability and reducibility of functions
- Undecidability in Weihrauch Degrees
- Borel Complexity of Topological Operations on Computable Metric Spaces
- Plottable Real Number Functions and the Computable Graph Theorem
- Computational complexity on computable metric spaces
- Notions of Probabilistic Computability on Represented Spaces
- Revising Type-2 Computation and Degrees of Discontinuity
- Hierarchies of Δ02‐measurable k ‐partitions
- ∏ 0 1 Classes and Degrees of Theories
This page was built for publication: Closed choice and a uniform low basis theorem