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PreprintCC0arXiv

Topological classification of Bazaikin spaces

Abstract

In this paper, we establish a topological classification of Bazaikin spaces whose sixth cohomology groups have orders prime to 5. Moreover, we obtain an estimate for the number of diffeomorphism types among these spaces.

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BibTeX
@misc{fang2026topological,
  title = {{Topological classification of Bazaikin spaces}},
  author = {Fuquan Fang and Wen Shen},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07898},
  eprint = {2611.07898},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07898},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Topological classification of Bazaikin spaces
AU  - Fuquan Fang
AU  - Wen Shen
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07898
UR  - https://arxiv.org/abs/2611.07898
AB  - In this paper, we establish a topological classification of Bazaikin spaces whose sixth cohomology groups have orders prime to 5. Moreover, we obtain an estimate for the number of diffeomorphism types among these spaces.
ER  -