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Search options not deleted user 21117

Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

1 vote
1 answer
333 views

Property Sigma Algebra [closed]

Is the set { $ \cup_{i \in \mathbb{N}} C_{i} \times D_{i} : C_{i} \in \mathcal{L} \ , D_{i} \in \mathcal{B}^{n} \ $ } a sigma algebra on $\mathbb{R} \times \mathbb{R}^{n}$ ?
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  • 11
0 votes
0 answers
695 views

Sigma algebra generated

Let $\mathcal{L} \subset \mathbb{R}$ the Lebesgue sigma algebra and $\mathcal{B} \subset \mathbb{R}^{n}$ the Borel sigma algebra. I'll denotes by $\mathcal{L} \times \mathcal{B}$ the smallest sigma a …
Santos's user avatar
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