Geometric invariants of locally compact groups: the homotopical perspective
We extend the classical theory of homotopical $$\Sigma$$-sets $$\Sigma ^n$$developed by Bieri, Neumann, Renz and Strebel for abstract groups, to $$\Sigma$$-sets $$\Sigma _\textrm{top}^n$$for locally compact Hausdorff groups. Given such a group G, our $$\Sigma _\textrm{top}^n(G)$$are sets of continuo...
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| Auteurs principaux: | , , |
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| Format: | Article (Journal) |
| Langue: | anglais |
| Publié: |
14 February 2026
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| In: |
Transformation groups
Year: 2026, Pages: 1-77 |
| ISSN: | 1531-586X |
| DOI: | 10.1007/s00031-026-09942-6 |
| Accès en ligne: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00031-026-09942-6
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| Notes sur l'auteur: | Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha |
| Résumé: | We extend the classical theory of homotopical $$\Sigma$$-sets $$\Sigma ^n$$developed by Bieri, Neumann, Renz and Strebel for abstract groups, to $$\Sigma$$-sets $$\Sigma _\textrm{top}^n$$for locally compact Hausdorff groups. Given such a group G, our $$\Sigma _\textrm{top}^n(G)$$are sets of continuous homomorphisms |
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| Description: | Gesehen am 02.06.2026 Online verfügbar: 14 Februar 2026, Artikelversion: 14 Februar 2026 |
| Description matérielle: | Online Resource |
| ISSN: | 1531-586X |
| DOI: | 10.1007/s00031-026-09942-6 |