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Two preservation results for countable products of sequential spaces
Published online by Cambridge University Press: 01 February 2007
Abstract
We prove two results for the sequential topology on countable products of sequential topological spaces. First we show that a countable product of topological quotients yields a quotient map between the product spaces. Then we show that the reflection from sequential spaces to its subcategory of monotone ω-convergence spaces preserves countable products. These results are motivated by applications to the modelling of computation on non-discrete spaces.
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- Copyright © Cambridge University Press 2007
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