## Normality in box products and [sigma]-products |

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base point box topology boxes in OXn cardinality clopen boxes clopen sets closed discrete closed subspace cofinal collectionwise compact spaces completely regular space Continuum Hypothesis countable box products countable metric space countable subproducts countable tightness countably compact countably paracompact counterexample decreasing neighborhood base Definition denoted disjoint closed Douwen Dowker space E-product of paracompact embeds example exists factors family of open finite subproduct first-countable G OXn G u>i Gruenhage Hence hereditarily Lindelof hereditarily separable homeomorphic Kombarov L-space left-separated in type Lindelof spaces locally compact MA(wi modification of X2 Morishita's question nabla equivalence class nabla product non-normal E-products normal E-products normal space normality of E-products Note open cover open neighborhood open refinement open sets pairwise disjoint pairwise disjoint family paracompact p-spaces products of countably Proof of Claim pseudonormal quotient map Rudin Sorgenfrey line Sorgenfrey modification spaces are normal spaces Xa Theorem Tychonov product uncountable