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arXiv · 2501.14162

The Funayama envelope as the $T_D$-hull of a frame

Guram Bezhanishvili·Ranjitha Raviprakash·Anna Laura Suarez·Joanne Walters-Wayland
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Abstract

We introduce proximity morphisms between MT-algebras and show that the resulting category is equivalent to the category of frames. This is done by utilizing the Funayama envelope of a frame, which is viewed as the $T_D$-hull. Our results have some spatial ramifications, including a generalization of the $T_D$-duality of Banaschewski and Pultr.

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Guram Bezhanishvili, Ranjitha Raviprakash, Anna Laura Suarez, Joanne Walters-Wayland. 2025-01-24. The Funayama envelope as the $T_D$-hull of a frame. https://arxiv.org/abs/2501.14162

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