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A Linear Borel set whose Difference set is not a Borel set
Bulletin of the London Mathematical Society, 1970openaire +2 more sources
1995
Let (X,T) be a topological space. The class of Borel sets of X is the σ-algebra generated by the open sets of X. We denote it by B(X,T) (or by B(X) or B(T), when appropriate). We call (X, B(X)) the Borel space of X. If Ɛ is a countable subbasis for X, then clearly B(X) = σ(Ɛ), so B(X) is countably generated when X is second countable. Note also that if
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Let (X,T) be a topological space. The class of Borel sets of X is the σ-algebra generated by the open sets of X. We denote it by B(X,T) (or by B(X) or B(T), when appropriate). We call (X, B(X)) the Borel space of X. If Ɛ is a countable subbasis for X, then clearly B(X) = σ(Ɛ), so B(X) is countably generated when X is second countable. Note also that if
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Some homological properties of Borel type ideals
Communications in Algebra, 2023Jürgen Herzog +2 more
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Two Convex Borel Sets whose Convex Hull is not a Borel Set
Bulletin of the London Mathematical Society, 1974openaire +2 more sources
A generalization of the Borel–Cantelli Lemma
Statistics and Probability Letters, 2004Valentin V Petrov
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On conditional Borel–Cantelli lemmas for sequences of random variables
Journal of Mathematical Analysis and Applications, 2013B L S Prakasa Rao
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