Summer Conference on Topology and Its Applications

Document Type

Topology + Asymmetric Structures

Publication Date


Publication Source

32nd Summer Conference on Topology and Its Applications


This work augments the standard relationships between sobriety, T1, and Hausdorff by mixing in locally Hausdorff and the compound axioms sober + T1 and sober + TD. We show the latter compound condition characterizes hereditary sobriety, and that locally Hausdorff fits strictly between Hausdorff and sober + T1. Classes of examples are constructed, in part to show the non-reversibility of key implications.


This document is available for download with the permission of the presenting author and the organizers of the conference. Permission documentation is on file.

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