A fiberwise Nielsen periodic number NBP_n(f) is defined, shown to bound the minimal number of n-periodic points up to homotopy over B, and computed explicitly for S^1-bundles over S^1.
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A Nielsen type periodic number for maps over $B$
A fiberwise Nielsen periodic number NBP_n(f) is defined, shown to bound the minimal number of n-periodic points up to homotopy over B, and computed explicitly for S^1-bundles over S^1.