Splittings and disjunctions in reverse mathematics
From MaRDI portal
Publication:2176407
DOI10.1215/00294527-2019-0032zbMath1462.03009arXiv1805.11342OpenAlexW2995569045MaRDI QIDQ2176407
Publication date: 4 May 2020
Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.11342
Foundations of classical theories (including reverse mathematics) (03B30) Second- and higher-order arithmetic and fragments (03F35) Higher-type and set recursion theory (03D65)
Related Items
Countable sets versus sets that are countable in reverse mathematics ⋮ Representations and the foundations of mathematics ⋮ Lifting proofs from countable to uncountable mathematics ⋮ Reverse mathematics of topology: dimension, paracompactness, and splittings ⋮ Pincherle's theorem in reverse mathematics and computability theory ⋮ Nets and reverse mathematics ⋮ Splittings and robustness for the Heine-Borel theorem
Cites Work
- Scenes from the history of real functions. Translated from the Russian by Roger Cooke
- Algorithmic randomness, reverse mathematics, and the dominated convergence theorem
- Postmodern analysis
- Real variable contributions of G. C. Young and W. H. Young
- Some nonstandard equivalences in reverse mathematics
- On Brouwer's continuity principle
- Metamathematical investigation of intuitionistic arithmetic and analysis. With contributions by C. A. Smorynski, J. I. Zucker and W. A. Howard
- Pincherle's theorem in reverse mathematics and computability theory
- The strength of compactness in computability theory and nonstandard analysis
- \(\mathsf{WKL}_0\) and induction principles in model theory
- Periodic points and subsystems of second-order arithmetic
- A Modern Theory of Random Variation
- Definability aspects of the Denjoy integral
- Excursions in the History of Mathematics
- The limits of determinacy in second-order arithmetic
- Uniform versions of some axioms of second order arithmetic
- Open Questions in Reverse Mathematics
- EIGHTY YEARS OF FOUNDATIONAL STUDIES
- Higher-Order Computability
- Effective discontinuity and a characterisation of the superjump
- The Use of Tagged Partitions in Elementary Real Analysis
- The Infinite Dimensional Henstock Integral and Problems of Black-Scholes Expectation
- COMPUTABILITY THEORY, NONSTANDARD ANALYSIS, AND THEIR CONNECTIONS
- On the mathematical and foundational significance of the uncountable
- Representations of Reals in Reverse Mathematics
- Analysis I
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item