Address:
Faculty of Mathematics, Physics, and Informatics, Comenius University, Mlynská dolina, SK-824 48, Bratislava, Slovakia tibor.macko@fmph.uniba.sk E-mail: martin.niepel@fmph.uniba.sk tomas.rusin@fmph.uniba.sk
Institute of Mathematics, Slovak Academy of Sciences, Štefánikova 49, Bratislava, SK-81473, Slovakia
E-mail:
ludovit.balko@fmph.uniba.sk
macko@mat.savba.sk
Abstract: Extending work of many authors we calculate the higher simple structure sets of lens spaces in the sense of surgery theory with the fundamental group of arbitrary order. As a corollary we also obtain a calculation of the simple structure sets of the products of lens spaces and spheres of dimension grater or equal to $3$.
AMSclassification: primary 57R65; secondary 57S25.
Keywords: fake lens space, higher structure set, \rho -invariant, surgery.
DOI: 10.5817/AM2019-5-267