Proper L-S category, fundamental pro-groups and 2-dimensional proper co-H-spaces |
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| Authors: | M. Cá rdenas,F. Muro,A. Quintero |
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| Affiliation: | a Departments de Geometría y Topología, Facultad de Matemáticas, Apartado 1160, 41080 Seville, Spain
b Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany |
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| Abstract: | This paper presents a study of one-ended locally finite CW-complexes with proper L-S category ?2. We detect the class of towers of groups which can be the fundamental pro-group of a space of proper L-S category 2. A second part of the paper is concerned with two-dimensional CW-complexes. For these, we give different characterizations of spaces with proper L-S category ?2. |
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| Keywords: | 55M30 55P57 |
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