Geodesic
Higher simple structure sets of lens spaces with the fundamental group of arbitrary order
Archivum mathematicum, Tome 55 (2019) no. 5, pp. 267-280

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 $3$.
DOI : 10.5817/AM2019-5-267
Classification : 57R65, 57S25
Keywords: fake lens space; higher structure set; $\rho $-invariant; surgery 
@article{10_5817_AM2019_5_267,
     author = {Balko, L{\textquoteright}udov{\'\i}t and Macko, Tibor and Niepel, Martin and Rusin, Tom\'a\v{s}},
     title = {Higher simple structure sets of lens spaces with the fundamental group of arbitrary order},
     journal = {Archivum mathematicum},
     pages = {267--280},
     publisher = {mathdoc},
     volume = {55},
     number = {5},
     year = {2019},
     doi = {10.5817/AM2019-5-267},
     mrnumber = {4057924},
     zbl = {07144742},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-267/}
}
TY  - JOUR
AU  - Balko, L’udovít
AU  - Macko, Tibor
AU  - Niepel, Martin
AU  - Rusin, Tomáš
TI  - Higher simple structure sets of lens spaces with the fundamental group of arbitrary order
JO  - Archivum mathematicum
PY  - 2019
SP  - 267
EP  - 280
VL  - 55
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-267/
DO  - 10.5817/AM2019-5-267
LA  - en
ID  - 10_5817_AM2019_5_267
ER  - 
%0 Journal Article
%A Balko, L’udovít
%A Macko, Tibor
%A Niepel, Martin
%A Rusin, Tomáš
%T Higher simple structure sets of lens spaces with the fundamental group of arbitrary order
%J Archivum mathematicum
%D 2019
%P 267-280
%V 55
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-267/
%R 10.5817/AM2019-5-267
%G en
%F 10_5817_AM2019_5_267
Balko, L’udovít; Macko, Tibor; Niepel, Martin; Rusin, Tomáš. Higher simple structure sets of lens spaces with the fundamental group of arbitrary order. Archivum mathematicum, Tome 55 (2019) no. 5, pp. 267-280. doi: 10.5817/AM2019-5-267

Cité par Sources :