33571
20190509132028.0
doi
10.5075/epfl-thesis-3102
urn
urn:nbn:ch:bel-epfl-thesis3102-7
nebis
4781956
THESIS
fre
3102
Modèles tordus d'espaces de lacets libres et fonctionnels
2004
Lausanne
EPFL
2004
69
Theses
Laurent Bartholdi, Jürg Peter Buser, Yves Felix, Ran Levi
In this PhD thesis, we construct an explicit algebraic model over Z of the cochains of the free loop space of a 1-connected space X. We start from an enriched Adams-Hilton model of X, which can be obtained relatively easily when X is the realisation of a simplicial set. Note it is not supposed that the Steenrod algebra acts trivially on X. The second part is dedicated to the construction of a model of the cochains of mapping spaces XY. where X is r-connected and Y is a CW-complex that has dimension less or equal to r. The space X must possess commutative models for the cochains of each Ωk X for k ≤ r. We first construct an algebraic model for the cochains of XSn ∀n ≤ r, then we then glue all of them to obtain a model of the cochains of XY. We give examples for each of these situations. The techniques used here rely heavily on the concept of a twisted bimodule. A description of this can be found in [DH99b].
(EPFLAUTH)111400
Blanc, Sylvestre
111400
240499
Hess-Bellwald, Kathryn
dir.
105396
606099
http://infoscience.epfl.ch/record/33571/files/EPFL_TH3102.pdf
n/a
n/a
252139
UPHESS
U10968
oai:infoscience.tind.io:33571
thesis
thesis-bn2018
DOI
SV
DOI2
GLOBAL_SET
108898
SB
SB-SMA
IGAT
GR-HE
2004-10-28
2004
3102/THESES
EPFL
PUBLISHED
THESIS