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On continuous homomorphisms from Alexandroff paratopologi...
[Submitted on 28 May 2026 (v1), last revised 28 Jul 2026 (this v · 2026-05-29 · via math updates on arXiv.org

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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.

Submission history

From: Pedro José Chocano Feito [view email]
[v1] Thu, 28 May 2026 04:37:27 UTC (43 KB)
[v2] Tue, 28 Jul 2026 14:22:37 UTC (15 KB)

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