In this paper we estimate xtn (S3 (p, m)), the n-extent of various lens spaces. We give numerical evidence for extending certain results of D. G. Yang [Duke Math. J., 74 (1994), 531-545.] to primes p between 11 and 37. We explain the implication of our results for the topology of 4-dimensional manifolds of positive sectional curvature with nontrivial isometric Zp-actions.
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D. G. Yang
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Paul Jung, Tucker McElroy, and Jason Samuels, The n-Extent of S3(p,m), Furman University Electronic Journal of Undergraduate Mathematics, 1 (2016), 1-11. Available at: https://scholarexchange.furman.edu/fuejum/vol1/iss1/1