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6 votes
0 answers
150 views

Baire space $\mathbb{N}^\mathbb{N}$ written as $\mathbb{R}$ [duplicate]

I'm writing my bachelor thesis on various topics from set theory and descriptive set theory (mainly topological games), and I just read a paper in which the Baire Space $\mathbb{N}^\mathbb{N}$ is ...
Lorenzo's user avatar
  • 2,610
4 votes
1 answer
153 views

Family of almost disjoint subsets of $\mathbb{R}_+$ (where non-disjointness is bounded)

Let $\mathbb{R}_+ = [0, \infty)$. I'm looking for a family $\mathcal{U}$ of $2^\mathfrak{c}$ subsets of $\mathbb{R}_+$, such that any member of $\mathcal{U}$ is unbounded in $\mathbb{R}_+$, but the ...
xyzzyz's user avatar
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