On continuous homomorphisms from Alexandroff paratopological groups into topological groups

Tayomara Borsich; Pedro J. Chocano

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arXiv · 2605.29347

On continuous homomorphisms from Alexandroff paratopological groups into topological groups

Tayomara Borsich·Pedro J. Chocano

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Abstract

Alexandroff paratopological groups provide a natural setting in which order-theoretic and algebraic properties interact. In this short note we prove obstruction results when considering continuous homomorphisms from Alexandroff paratopological groups into topological groups. Particularly and, as a consequence of these results, we provide an alternative proof of the fact that the only connected Alexandroff topological group is the one that carries the trivial topology.

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Tayomara Borsich, Pedro J. Chocano. 2026-05-28. On continuous homomorphisms from Alexandroff paratopological groups into topological groups. https://arxiv.org/abs/2605.29347

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