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Inspired by classic work of Wallman and more recent work ofJung-Kegelmann-Moshier and Vickers, we show how to encode general subbases ofstably locally compact spaces via certain entailment relations. We furtherbuild this up to a categorical duality encompassing the classic Priestley-Stoneduality and its various extensions to stably locally compact spaces by Shirota,De Vries, Hofmann-Lawson (in the stable case), Jung-S\"underhauf,Hansoul-Poussart, Bezhanishvili-Jansana, van Gool and Bice-Starling.

Lattice-Free and Point-Free: Vickers Duality for Subbases of Stably Locally Compact Spaces