Geodesic
External Spanier–Whitehead duality and homology representation theorems for diagram spaces
Lackmann, Malte1
1 Mathematisches Institut, Universität Bonn, Bonn, Germany
Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 155-216

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

We construct a Spanier–Whitehead type duality functor relating finite 𝒞–spectra to finite 𝒞op ⁡ –spectra and prove that every 𝒞–homology theory is given by taking the homotopy groups of a balanced smash product with a fixed 𝒞op ⁡ –spectrum. We use this to construct Chern characters for certain rational 𝒞–homology theories.

DOI : 10.2140/agt.2023.23.155
Keywords: spaces over a category, $\mathcal{C}$–homology theories, representation theorems, external Spanier–Whitehead duality, Chern character

Lackmann, Malte 1

1 Mathematisches Institut, Universität Bonn, Bonn, Germany 
@article{10_2140_agt_2023_23_155,
     author = {Lackmann, Malte},
     title = {External {Spanier{\textendash}Whitehead} duality and homology representation theorems for diagram spaces},
     journal = {Algebraic and Geometric Topology},
     pages = {155--216},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2023},
     doi = {10.2140/agt.2023.23.155},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.155/}
}
TY  - JOUR
AU  - Lackmann, Malte
TI  - External Spanier–Whitehead duality and homology representation theorems for diagram spaces
JO  - Algebraic and Geometric Topology
PY  - 2023
SP  - 155
EP  - 216
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.155/
DO  - 10.2140/agt.2023.23.155
ID  - 10_2140_agt_2023_23_155
ER  - 
%0 Journal Article
%A Lackmann, Malte
%T External Spanier–Whitehead duality and homology representation theorems for diagram spaces
%J Algebraic and Geometric Topology
%D 2023
%P 155-216
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.155/
%R 10.2140/agt.2023.23.155
%F 10_2140_agt_2023_23_155
Lackmann, Malte. External Spanier–Whitehead duality and homology representation theorems for diagram spaces. Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 155-216. doi: 10.2140/agt.2023.23.155

Cité par Sources :