# Sur la topologie de certains espaces homogènes

@inproceedings{Ehresmann1934SurLT,
title={Sur la topologie de certains espaces homog{\`e}nes},
author={Charles Ehresmann},
year={1934}
}
211 Citations
• J. Brasselet
• Mathematics
Journal of Systems Science and Complexity
• 2019
The aim of this article is to present the contribution of Wu Wen-Tsün to Algebraic Topology and more precisely to the theory of characteristic classes. Several papers provide complete and
The cell structure for flag manifolds, originally defined by Ehresmann, has certain deficiencies in the sense it does not allow for an exhaustive proof of the axioms in the definition of a
We here define a cell structure for real, complex and quaternionic flag manifolds in a unified way. Our method is geometric in nature and is inspired from a method due to Milnor and Stasheff, which
• Mathematics
• 2017
The Schubert varieties on a flag manifold G/P give rise to a cell decomposition on G/P whose Kronecker duals, known as the Schubert classes on G/P, form an additive base of the integral cohomology of
• Mathematics
• 2015
Let $\mathfrak{S}_n$ and $\mathfrak{B}_n$ denote the respective sets of ordinary and bigrassmannian permutations of order $n$, and let $(\mathfrak{S}_n,\le)$ denote the Bruhat ordering permutation
• Mathematics
Electron. J. Comb.
• 2012
A characterization of permutations of $\sigma$ such that ${\Lambda}_{\sigma}$ are invariant under $\Phi$, and the invariant principal order ideals with respect to the Bruhat order under Han's bijection.
Given a smooth projective variety V of dimension n, one may say that V has motivic dimension less than d+1 if the cohomology of V comes from varieties of dimensions less than d+1 in some geometric
• Mathematics
• 2004
We give new formulas for Grothendieck polynomials of two types. One type expresses any specialization of a Grothendieck polynomial in at least two sets of variables as a linear combination of
• Mathematics
• 2021
Hilbert’s 15th problem called for a rigorous foundation of Schubert’s calculus, in which a long standing and challenging part is Schubert’s problem of characteristics. In the course of securing the