Hybrid Definability in Topological Spaces

Dmitry Sustretov · 2005

We present some results concerning definability of classes of topological spaces in hybrid languages. We use language Lt described in [9] to establish notion of “elementarity ” for classes of topological spaces. We use it to prove the analogue of Goldblatt-Thomason theorem in topological spaces for hybrid languages H(E) and H(@). We also prove a theorem that allows to reformulate definability result of Gabelaia ([10]) for modal logic in terms of elementary topological space classes. 1

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