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PreprintarXiv licencearXiv

Normalizers in the category of topological groups

  • Maria Manuel Clementino
  • James Richard Andrew Gray
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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.

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Cite

BibTeXRIS
BibTeX
@misc{clementino2026normalizers,
  title = {{Normalizers in the category of topological groups}},
  author = {Maria Manuel Clementino and James Richard Andrew Gray},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03253},
  eprint = {2611.03253},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03253},
}
RIS
TY  - UNPB
TI  - Normalizers in the category of topological groups
AU  - Maria Manuel Clementino
AU  - James Richard Andrew Gray
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03253
UR  - https://arxiv.org/abs/2611.03253
AB  - 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.
ER  -