A Homotopical Conner-Raymond Theorem and a Question of Gottlieb
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 219-229
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A homotopy theoretic version is given of the following result of Conner and Raymond: If the circle acts on a space so that the orbit map induces an injection in homology, then the space fibres over the circle with finite structure group. This homotopical analogue is related to recent results pertaining to the effect of the fundamental group's structure on the Euler characteristic. It is also used in the construction of a compact, simple 7-manifold with trivial Gottlieb group which, together with an infinite dimensional example of Ganea, answers a question of Gottlieb.
Oprea, John. A Homotopical Conner-Raymond Theorem and a Question of Gottlieb. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 219-229. doi: 10.4153/CMB-1990-035-6
@article{10_4153_CMB_1990_035_6,
author = {Oprea, John},
title = {A {Homotopical} {Conner-Raymond} {Theorem} and a {Question} of {Gottlieb}},
journal = {Canadian mathematical bulletin},
pages = {219--229},
year = {1990},
volume = {33},
number = {2},
doi = {10.4153/CMB-1990-035-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-035-6/}
}
TY - JOUR AU - Oprea, John TI - A Homotopical Conner-Raymond Theorem and a Question of Gottlieb JO - Canadian mathematical bulletin PY - 1990 SP - 219 EP - 229 VL - 33 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-035-6/ DO - 10.4153/CMB-1990-035-6 ID - 10_4153_CMB_1990_035_6 ER -
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