Homotopy-theoretic E-theory and n-order

TY - JOUR

T1 - Homotopy-theoretic E-theory and n-order

AU - Bentmann, Rasmus Moritz

PY - 2014/9/1

Y1 - 2014/9/1

N2 - The bootstrap category in E-theory for (Formula presented.)-algebras over a finite space is embedded into the homotopy category of certain diagrams of (Formula presented.)-module spectra. Therefore it has infinite n-order for every (Formula presented.). The same holds for the bootstrap category in (Formula presented.) -equivariant E-theory for a compact group (Formula presented.) and for the Spanier–Whitehead category in connective E-theory.

AB - The bootstrap category in E-theory for (Formula presented.)-algebras over a finite space is embedded into the homotopy category of certain diagrams of (Formula presented.)-module spectra. Therefore it has infinite n-order for every (Formula presented.). The same holds for the bootstrap category in (Formula presented.) -equivariant E-theory for a compact group (Formula presented.) and for the Spanier–Whitehead category in connective E-theory.

U2 - 10.1007/s40062-013-0034-7

DO - 10.1007/s40062-013-0034-7

M3 - Journal article

SN - 2193-8407

VL - 9

SP - 455

EP - 463

JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

IS - 2

ER -