34 research outputs found

    Spaces with polynomial mod-p cohomology

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    Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces

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    We show that coloring properties of a simplicial complex K are reflected by splitting properties of a bundle over the associated Davis-Januszkiewicz space whose Chern classes are given by the elementary symmetric polynomials in the generators of the Stanley-Reisner algebra of K. © 2009 The Author(s)

    Maps between classifying spaces and applications

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    AbstractFor connected Lie groups G and H the calculation of the mapping space map(BG, BH) can be reduced to the case of simply connected Lie groups. This reduction method allows some applications. For example a homotopy classification of self-maps BG→BG which induce rational homotopy equivalences and a classification of fake Lie groups up to homotopy
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