We examine the behaviour of a complex oriented cohomology theory on , the -extended power of a space , seeking a description of in terms of the cohomology . We give descriptions for the particular cases of Morava -theory for any space and for complex cobordism , the Brown-Peterson theories BP and any Landweber exact theory for a wide class of spaces.
Nous étudions le comportement d’une théorie à orientation complexe sur un espace du type , la puissance -étendue d’un espace , à la recherche d’une description de en fonction de . Nous donnons une telle description dans le cas particulier des -théories de Morava (pour espace quelconque) et dans le cas du cobordisme complexe , de la théorie de Brown-Peterson BP ou de n’importe quelle théorie Landweber-exacte, pour décrivant une vaste classe d’espaces.
@article{AIF_1998__48_2_517_0, author = {Hunton, John Robert}, title = {The complex oriented cohomology of extended powers}, journal = {Annales de l'Institut Fourier}, pages = {517--534}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {48}, number = {2}, year = {1998}, doi = {10.5802/aif.1627}, mrnumber = {99c:55017}, zbl = {0899.55019}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1627/} }
TY - JOUR AU - Hunton, John Robert TI - The complex oriented cohomology of extended powers JO - Annales de l'Institut Fourier PY - 1998 SP - 517 EP - 534 VL - 48 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1627/ DO - 10.5802/aif.1627 LA - en ID - AIF_1998__48_2_517_0 ER -
%0 Journal Article %A Hunton, John Robert %T The complex oriented cohomology of extended powers %J Annales de l'Institut Fourier %D 1998 %P 517-534 %V 48 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1627/ %R 10.5802/aif.1627 %G en %F AIF_1998__48_2_517_0
Hunton, John Robert. The complex oriented cohomology of extended powers. Annales de l'Institut Fourier, Volume 48 (1998) no. 2, pp. 517-534. doi : 10.5802/aif.1627. http://archive.numdam.org/articles/10.5802/aif.1627/
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