Geodesic
Higher cohomology operations and R–completion
Blanc, David1 ; Sen, Debasis2
1 Department of Mathematics, University of Haifa, Haifa, Israel
2 Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, Kanpur, India
Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 247-312

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Let R be either Fp or a field of characteristic 0. For each R–good topological space  Y , we define a collection of higher cohomology operations which, together with the cohomology algebra H∗(Y ;R), suffice to determine Y up to R–completion. We also provide a similar collection of higher cohomology operations which determine when two maps f0,f1: Z → Y between R–good spaces (inducing the same algebraic homomorphism H∗(Y ;R) → H∗(Z;R)) are R–equivalent.

DOI : 10.2140/agt.2018.18.247
Classification : 55P60, 55N99, 55P15, 55P20
Keywords: higher cohomology operation, Toda bracket, cosimplicial resolution

Blanc, David 1 ; Sen, Debasis 2

1 Department of Mathematics, University of Haifa, Haifa, Israel
2 Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, Kanpur, India 
@article{10_2140_agt_2018_18_247,
     author = {Blanc, David and Sen, Debasis},
     title = {Higher cohomology operations and {R{\textendash}completion}},
     journal = {Algebraic and Geometric Topology},
     pages = {247--312},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2018},
     doi = {10.2140/agt.2018.18.247},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.247/}
}
TY  - JOUR
AU  - Blanc, David
AU  - Sen, Debasis
TI  - Higher cohomology operations and R–completion
JO  - Algebraic and Geometric Topology
PY  - 2018
SP  - 247
EP  - 312
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.247/
DO  - 10.2140/agt.2018.18.247
ID  - 10_2140_agt_2018_18_247
ER  - 
%0 Journal Article
%A Blanc, David
%A Sen, Debasis
%T Higher cohomology operations and R–completion
%J Algebraic and Geometric Topology
%D 2018
%P 247-312
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.247/
%R 10.2140/agt.2018.18.247
%F 10_2140_agt_2018_18_247
Blanc, David; Sen, Debasis. Higher cohomology operations and R–completion. Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 247-312. doi: 10.2140/agt.2018.18.247

Cité par Sources :