منابع مشابه
Equivariant Algebraic Topology
This paper develops the introductory theory of equivariant algebraic topology. We first define G-CW complexes and prove some basic homotopy-theoretic results Whitehead’s theorem, cellular and CW approximation, and the Freudenthal suspension theorem. We then define ordinary (Bredon) homology and cohomology theories and give an application to Smith theory. Our treatment of this material closely f...
متن کاملEquivariant Topology of Configuration Spaces
We study the Fadell–Husseini index of the configuration space F (R, n) with respect to different subgroups of the symmetric group Sn. For p prime and k ≥ 1, we completely determine IndexZ/p(F (R, p);Fp) and partially describe Index(Z/p)k (F (R, p);Fp). In this process we obtain results of independent interest, including: (1) an extended equivariant Goresky–MacPherson formula, (2) a complete des...
متن کاملEQUIVARIANT DIFFERENTIAL TOPOLOGYt
Section 2 concerns the classification of G-vector bundles. The precise statement is: The equivalence classes of k-dimensional G-vector bundles over M” “ subordinate ” to Pare in a natural one-to-one correspondence with the equivariant homotopy classes of maps of M into Gk( V’), the grassmannian of k-planes in V’, if t > n + k. The existence of a classifying map is proved via a transversality ar...
متن کاملEquivariant differential embeddings
Takens Dynamical Systems and Turbulence, Lecture Notes in Mathematics, edited by D. A. Rand and L. S. Young Springer-Verlag, New York, 1981 , Vol. 898, pp. 366–381 has shown that a dynamical system may be reconstructed from scalar data taken along some trajectory of the system. A reconstruction is considered successful if it produces a system diffeomorphic to the original. However, if the origi...
متن کاملTopology of Spaces of Equivariant Symplectic Embeddings
We compute the homotopy type of the space of Tn-equivariant symplectic embeddings from the standard 2n-dimensional ball of some fixed radius into a 2n-dimensional symplectic–toric manifold (M, σ), and use this computation to define a Z≥0-valued step function on R≥0 which is an invariant of the symplectic–toric type of (M, σ). We conclude with a discussion of the partially equivariant case of th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 1969
ISSN: 0040-9383
DOI: 10.1016/0040-9383(69)90005-6