Journal ArticleDOI
Measure and category
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This article is published in Bulletin of The London Mathematical Society.The article was published on 1974-07-01. It has received 182 citations till now. The article focuses on the topics: Absolute Category Rating & Measure (physics).read more
Citations
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Journal ArticleDOI
Linear subsets of nonlinear sets in topological vector spaces
TL;DR: The lineability and spaceability of algebraic structures has been studied extensively in real and complex analysis, operator theory, summability theory, polynomials in Banach spaces, hypercyclicity and chaos, and general functional analysis as mentioned in this paper.
Journal ArticleDOI
On the Bernstein-von Mises Theorem with Infinite Dimensional Parameters
TL;DR: In this paper, the authors show that the posterior distribution of the parameter vector around the posterior mean of the posterior probability distribution of a variable is very close to the distribution around truth of the maximum likelihood estimate around truth.
Book ChapterDOI
The Random Graph
TL;DR: A survey of countably infinite random graphs and their automorphism groups can be found in this paper, where the authors show that there is a unique (and highly symmetric) countably infinitely infinite random graph.
Journal ArticleDOI
Convex integration and the L p theory of elliptic equations.
Journal ArticleDOI
Set Theoretic Real Analysis
TL;DR: A survey of the recent results that concern real functions (from into ℝ) and whose solutions or statements involve the use of set theory can be found in this paper, where the authors follow the author's personal interest in the subject, and there are probably some important results in this area that did not make it to this survey.
References
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Book
Algorithmic Randomness and Complexity
TL;DR: This chapter discusses Randomness-Theoretic Weakness, Omega as an Operator, Complexity of C.E. Sets, and other Notions of Effective Randomness.
Book
Functional Analysis and Infinite-Dimensional Geometry
TL;DR: In this article, the basic concepts in Banach spaces are discussed, including weak topologies, uniform convexity, smoothness and structure, and weakly compactly generated spaces.
Journal ArticleDOI
Linear subsets of nonlinear sets in topological vector spaces
TL;DR: The lineability and spaceability of algebraic structures has been studied extensively in real and complex analysis, operator theory, summability theory, polynomials in Banach spaces, hypercyclicity and chaos, and general functional analysis as mentioned in this paper.
Journal ArticleDOI
On the Bernstein-von Mises Theorem with Infinite Dimensional Parameters
TL;DR: In this paper, the authors show that the posterior distribution of the parameter vector around the posterior mean of the posterior probability distribution of a variable is very close to the distribution around truth of the maximum likelihood estimate around truth.
Book ChapterDOI
The Random Graph
TL;DR: A survey of countably infinite random graphs and their automorphism groups can be found in this paper, where the authors show that there is a unique (and highly symmetric) countably infinitely infinite random graph.