Precise comparisons are established between T(n)-homology and v_n-periodic homotopy equivalences, including a T(n)-local version of Kuhn's result and a formula for L_n^f-localization of infinite loop spaces from spectra with L_{n-1}^f vanishing.
Nondurable𝐾-theory equivalence and Bousfield localiza- tion
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On periodic homotopy and homology equivalences of spaces
Precise comparisons are established between T(n)-homology and v_n-periodic homotopy equivalences, including a T(n)-local version of Kuhn's result and a formula for L_n^f-localization of infinite loop spaces from spectra with L_{n-1}^f vanishing.