What question did this study set out to answer?

The aim is to correct errors in the lemma and definitions presented in the original paper regarding local groups.

March 29, 2026Open Access

Erratum to "Globalizing Locally Compact Local Groups"

Key Points

The aim is to correct errors in the lemma and definitions presented in the original paper regarding local groups.
Identification of errors noted by Shtern's review.
Correction of the definition of morphism by including the term 'continuous'.
Clarification of the injective nature of the map in Lemma 3.2.
Clarified definitions enhance the robustness of the original findings.
Correcting the lemma ensures logical consistency in the proof.

Abstract

We thank A. I. Shtern for pointing out in his review 2 that Lemma 3.2 in our paper “Globalizing locally compact local groups” 1, is incorrect. Contrary to what that review suggests, it is easy to repair this (routine) lemma so that the proof of the main result goes through. There were two errors in our text: one is that we inadvertently omitted the word “continuous” in our definition, on p. 520, of morphism of local groups. (The paper makes no sense without this requirement.) The other error is that we forgot to say that the map ι in Lemma 3.2 is injective. Here is a slightly more explicit and corrected version of that lemma and its proof:

KI fragen

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