Dense Sδ-diagonals and linearly ordered extensions | Zendy

Masami Hosobuchi | Zendy

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Dense Sδ-diagonals and linearly ordered extensions

Author(s) -

Masami Hosobuchi

Publication year - 2003

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2003.2010

Subject(s) - diagonal , mathematics , combinatorics , countable set , space (punctuation) , discrete mathematics , geometry , computer science , operating system

The notion of the Sδ-diagonal was introduced by H. R. Bennett to study the quasi-developability of linearly ordered spaces. In an earlier paper, we obtained a characterization of topological spaces with an Sδ-diagonal and we showed that the Sδ-diagonal property is stronger than the quasi-Gδ-diagonal -diagonal property. In this paper, we define a dense Sδ-diagonal of a space and show that two linearly ordered extensions of a generalized ordered space X have dense Sδ-diagonals if the sets of right and left looking points are countable

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