Anna Laura Suarez

activity

20242026

collaborators

5 papers

math.CT2026

A general framework for the faithful pointfree representation of $T_{0}$ -spaces

Rui Prezado, Anna Laura Suarez

We introduce a general framework for studying natural contravariant adjunctions that refine the adjunction between frames and spaces so that the fixpoints are $T_{0}$ -spaces. Our obj…

math.GN2026

The lattice of smooth sublocales as a Bruns-Lakser completion

Igor Arrieta, Anna Laura Suarez

We characterise the frame morphisms $f : L \to M$ that lift to frame maps $f : S_{b} (L) \to S_{b} (M)$ , where $S_{b} (L)$ is the collection of joins of comp…

math.GN2025

Strictly zero-dimensional biframes and Raney extensions

Anna Laura Suarez

Raney extensions and strictly zero-dimensional biframes both faithfully extend the dual of the category of $T_{0}$ spaces. We use tools from pointfree topology to look at the connect…

math.CT2025

Raney extensions: a pointfree theory of T_0 spaces based on canonical extension

Anna Laura Suarez

We introduce a pointfree version of Raney duality. Our objects are \emph{Raney extensions} of frames, pairs $(L, C)$ where $C$ is a coframe and $L \subseteq C$ is a subframe that mee…

math.CT2024

Raney extensions of frames: topological aspects

Anna Laura Suarez

We explore a pointfree approach to spaces which extends the category of $T_{0}$ spaces. Our pointfree objects are Raney extensions, pairs $(L, C)$ where $C$ is a coframe, $L\subseteq…

A general framework for the faithful pointfree representation of T0​-spaces

The lattice of smooth sublocales as a Bruns-Lakser completion

Strictly zero-dimensional biframes and Raney extensions

Raney extensions: a pointfree theory of T_0 spaces based on canonical extension

Raney extensions of frames: topological aspects

A general framework for the faithful pointfree representation of $T_{0}$ -spaces