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Finite products of connected nowhere separable linearly ordered spaces

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Abstract We shall show that for every natural number n, every continuous injection from the product of n-many connected nowhere separable linearly ordered spaces into such a product is coordinate-wise.… Click to show full abstract

Abstract We shall show that for every natural number n, every continuous injection from the product of n-many connected nowhere separable linearly ordered spaces into such a product is coordinate-wise. This result was announced by the author in [1] .

Keywords: ordered spaces; finite products; connected nowhere; linearly ordered; separable linearly; nowhere separable

Journal Title: Topology and its Applications
Year Published: 2021

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