November 11, 2025Bulletin of the Australian Mathematical SocietyOpen Access

A Note on the Open Mappings of Locally Compact Groups

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Continuous mapping preserves openness in locally compact groups, and non-compact groups exhibit different topological behavior.
If the group G has a compact identity and H is totally disconnected, openness transfers between the morphisms.
Analysis focused on the Vietoris topology for closed and compact subgroups, exploring implications on their relationships.
Findings underscore the importance of understanding morphism characteristics in topology, with practical relevance in analysis.

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Implication

This note shows a relationship between openness of morphisms and their induced maps in locally compact groups, indicating potential structural insights.

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Zouhour Jlali (2025) studied this question.

synapsesocial.com/papers/69252ea3c0ce034ddc3566bb https://doi.org/10.1017/s0004972725100579

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Implication

This note shows a relationship between openness of morphisms and their induced maps in locally compact groups, indicating potential structural insights.

A Note on the Open Mappings of Locally Compact Groups

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Implication

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A Note on the Open Mappings of Locally Compact Groups

Key Points

Discussion

Implication

Cite This Study

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