# Homologie Singuliere Des Espaces Fibres

@article{Serre1951HomologieSD,
title={Homologie Singuliere Des Espaces Fibres},
author={Jean-Pierre Serre},
journal={Annals of Mathematics},
year={1951},
volume={54},
pages={425}
}
760 Citations
The goal of this thesis is to compute the size of the group Θn of h-cobordism classes of homotopy n-spheres for n ≥ 4. We study Θn by studying the Kervaire-Milnor long exact sequence. Various
If a chain complex is filtered over a poset I, then for every chain in I we obtain a spectral sequence. In this paper we define a spectral system that contains all these spectral sequences and
This thesis studies the pre-quantization of quasi-Hamiltonian group actions from a cohomological viewpoint. The compatibility of pre-quantization with symplectic reduction and the fusion product are
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H(x, 0)=A(G'(x)(0), p(G'(x))o)(1)=G'(x)(0)=G(x, 0), since A is regular. If xEA, then p((G'(x))t)(s) =pG(x, 0) and again by regularity H(x, t) =G(x, t).
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These new spectral systems are part of a new module for the Kenzo system and can be useful to deduce new relations on the initial spectral sequences and to obtain information about different filtrations of the homology groups of the fiber and the base space of the fibrations.
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Algorithms and programs for computing generalized spectral sequences, a useful tool in Computational Algebraic Topology which provides topological information on spaces with generalized filtrations over a poset are presented.
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We construct for every prime $p$ a finitely presented group $G$ in which the dimension quotient $(G\cap(1+\varpi^n))/\gamma_n(G)$ has $p$-torsion for some $n$. The construction uses Serre's element
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We discuss homotopy properties of endpoint maps for horizontal path spaces, i.e. spaces of curves on a manifold M whose velocities are constrained to a subbundle Δ ⊂ TM in a nonholonomic way. We
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We prove that the 61-sphere has a unique smooth structure. Following results of Moise [35], Kervaire-Milnor [25], Browder [10] and Hill-Hopkins-Ravenel [19], we show that the only odd dimensional

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In a recent paper [16] the author has had occasion to introduce and use what he believed to be a new type of homology theory, and he named it homology with local coefficients. It proved to be the
Nutzungsbedingungen Mit dem Zugriff auf den vorliegenden Inhalt gelten die Nutzungsbedingungen als akzeptiert. Die angebotenen Dokumente stehen für nicht-kommerzielle Zwecke in Lehre, Forschung und
The fixed end point problem in non-parametric form General end conditions The index form Self-adjoint systems The functional on a Riemannian space The critical sets of functions The boundary problem
• Mathematics
Proceedings of the National Academy of Sciences of the United States of America
• 1950
• Biology
Proceedings of the National Academy of Sciences of the United States of America
• 1950
Zygotes of C. Reinhardi may produce eight instead of four cells, and the number of zygotes producing eight cells is greater in old than in recently ripened ones, which is not correlated with sexuality.