Anna Laura Suarez

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20242026

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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.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…

math.CT2024

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…

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

Raney extensions of frames: topological aspects

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

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