TY - JOUR
T1 - Model structures on the category of ex-spaces
AU - Intermont, Michele
AU - Johnson, Mark W.
PY - 2002/4/30
Y1 - 2002/4/30
N2 - This paper describes several model structures on the categories of ex-spaces and ex-G-spaces when G is a compact Lie group. Two of these are of particular interest in that they have expected applications to the study of transfer maps and to parametrized spectra. These two structures are shown to coincide on the collection of Hurewicz fibrations, and an indication is also given, mainly via examples, of how they differ. The last two sections of this paper are mostly expository; they set forth the model category techniques needed to prove the main theorems.
AB - This paper describes several model structures on the categories of ex-spaces and ex-G-spaces when G is a compact Lie group. Two of these are of particular interest in that they have expected applications to the study of transfer maps and to parametrized spectra. These two structures are shown to coincide on the collection of Hurewicz fibrations, and an indication is also given, mainly via examples, of how they differ. The last two sections of this paper are mostly expository; they set forth the model category techniques needed to prove the main theorems.
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U2 - 10.1016/S0166-8641(01)00076-1
DO - 10.1016/S0166-8641(01)00076-1
M3 - Article
AN - SCOPUS:0038353126
SN - 0166-8641
VL - 119
SP - 325
EP - 353
JO - Topology and its Applications
JF - Topology and its Applications
IS - 3
ER -