Work

Normalizers in the category of topological groups

Year: 2026

Type: preprint

Abstract: We show that the category of morphisms of topological groups admits split extension classifiers and hence the category of topological groups admits normalizers. We give explicit descriptions of both normalizers and of split extension classifiers of morphisms of topological groups in terms of split extension classifiers of topological groups.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2611.03253

Authors: Clementino, Maria Manuel, Gray, James Richard Andrew

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225141765

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