L01 7 Definition of a Borel sigma-algebra

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MS-E1600 Probability Theory 2021
A Borel sigma-algebra is a sigma-algebra generated by open sets.
  1. Lasse Leskelä
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Help me, please.

A_1, . . ., A_k are disjoint sets in B[0, ∞) × B (R\{0}), where B is a Borel set and x is the cartesian product.

How do we interpret B[0, ∞) × B (R\{0})?

HarpreetSingh-kezk