CrossRef Open Access 2023 4 sitasi

ℤ/pr-hyperbolicity via homology

Guy Boyde

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AbstractWe show that the homotopy groups of a Moore space Pn(pr), where pr ≠ 2, are ℤ/ps-hyperbolic for s ≤ r. Combined with work of Huang–Wu, Neisendorfer, and Theriault, this completely resolves the question of when such a Moore space is ℤ/ps-hyperbolic for p ≥ 5, or when p = 2 and r ≥ 6. We also give a criterion in ordinary homology for a space to be ℤ/pr-hyperbolic, and deduce some examples.

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Guy Boyde

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Boyde, G. (2023). ℤ/pr-hyperbolicity via homology. https://doi.org/10.1007/s11856-023-2563-z

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Lihat di Sumber doi.org/10.1007/s11856-023-2563-z

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Total Sitasi: 4×
Sumber Database: CrossRef
DOI: 10.1007/s11856-023-2563-z
Akses: Open Access ✓