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By Gutiérrez García, Javier (e-bilb) Kubiak, Tomasz (pl-pozn-mc and Picado Jorge (p-cmbr-cm


Pointfree forms of Dowker’s and Michael’s insertion theorems. (English summary) J. Pure Appl. Algebra 213 (2009), no. 1, 98–108. Summary: “In this paper we prove two strict insertion theorems for frame homomorphisms. When applied to the frame of all open subsets of a topological space they are equivalent to the insertion statements of the classical theorems of Dowker and Michael regarding, respectively, normal countably paracompact spaces and perfectly normal spaces. In addition, a study of perfect normality for frames is made.

Topics: 7. C.H. Dowker, D. Papert Strauss, Sums in the category of frames, Houston J. Math. 3 (1977
Year: 2013
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