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The product of two chainable Kelley continua is also a Kelley continuum

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Abstract For many years, it was an open question whether the product of two Kelley continua is also a Kelley continuum. In 1977, Roger W. Wardle presented a Kelley continuum… Click to show full abstract

Abstract For many years, it was an open question whether the product of two Kelley continua is also a Kelley continuum. In 1977, Roger W. Wardle presented a Kelley continuum X such that X × X is not a Kelley continuum. Many years later, in 2004, Janusz J. Charatonik and Wlodzimierz J. Charatonik presented a Kelley continuum X such that X × [ 0 , 1 ] is not a Kelley continuum. In this paper we prove that the product of two chainable Kelley continua is also a Kelley continuum.

Keywords: product two; kelley; kelley continuum; also kelley; kelley continua; continua also

Journal Title: Topology and its Applications
Year Published: 2020

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