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Nov
20
awarded  Curious
Nov
19
revised Extensionality of a hierarchy of functionals over $\mathbb{N}$
added a tag
Nov
19
revised Extensionality of a hierarchy of functionals over $\mathbb{N}$
deleted 8 characters in body
Nov
19
asked Extensionality of a hierarchy of functionals over $\mathbb{N}$
Sep
24
awarded  Autobiographer
Mar
23
answered Prove: $(A\rightarrow B),(A\rightarrow C)\rightarrow B, \mapsto_{HPC} B $
Mar
23
awarded  Benefactor
Mar
23
accepted Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?
Mar
23
awarded  Yearling
Mar
22
answered Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?
Mar
21
comment Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?
Oh, I was being obtuse - you only needed that there are at least countably many sets in Γ of measure greater than ε. Sorry. And thanks for answering my question! I'll leave this up for a few days so others can learn from it, then award the bounty.
Mar
21
comment Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?
This looks great, but I'm still stuck at one point: how do you show that the collection of $E_i \in \Gamma$ with measure $>\epsilon$ is countable? You show that it can't be finite, but why couldn't it be uncountable? (Sorry if I'm being obtuse.)
Mar
21
revised Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?
Changed m to \mu to fit with the notation in the question
Mar
21
suggested approved edit on Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?
Mar
20
awarded  Nice Question
Mar
19
awarded  Teacher
Mar
19
answered Can a mathematical difference not also imply a disjunction?
Mar
19
revised Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?
Added cross-reference to a related question I asked earlier
Mar
19
awarded  Promoter
Mar
18
revised Can an uncountable family of positive-measure sets be such that each point belongs to only finitely many of them?
Added an explanation of what I've been able to do so far.