query: Non-Separability of Metric Space implies non equivalence of Borel $\sigma$-algebras on product space.
positive_passages.docid: 16892
positive_passages.text: Reference request: product Borel $\sigma$-algebra of non-separable metric spaces
negative_passages.docid: 137881
negative_passages.text: A not complete metric space?
negative_passages.docid: 83360
negative_passages.text: The completion of a separable inner product space is a separable Hilbert space
negative_passages.docid: 64375
negative_passages.text: Non-Metrizable Topological Spaces
negative_passages.docid: 97621
negative_passages.text: Every separable Banach space is isomorphic to $\ell_1/A$ for some closed $A\subset \ell_1$
negative_passages.docid: 19996
negative_passages.text: Example where union of increasing sigma algebras is not a sigma algebra
negative_passages.docid: 94980
negative_passages.text: Measurable functions in a countable co-countable $\sigma$-algebra
negative_passages.docid: 135656
negative_passages.text: Why non-measurable sets exist?
negative_passages.docid: 65180
negative_passages.text: A compact Hausdorff space that is not metrizable
negative_passages.docid: 53642
negative_passages.text: Cardinality of Borel sigma algebra
negative_passages.docid: 37841
negative_passages.text: Product of quotient maps and quotient space that is not Hausdorff
negative_passages.docid: 132713
negative_passages.text: The space $c_0$ of sequences that converge to 0 is not reflexive
negative_passages.docid: 66550
negative_passages.text: Cardinality of separable metric spaces
negative_passages.docid: 70409
negative_passages.text: Rational Equivalence Relation and Measure
negative_passages.docid: 55717
negative_passages.text: cardinality of the Borel $\sigma$-algebra of a second countable space
negative_passages.docid: 83446
negative_passages.text: bijective continuous function on $\mathbb R^n$ not homeomorphism?
negative_passages.docid: 70413
negative_passages.text: A vector space over $R$ is not a countable union of proper subspaces