منابع مشابه
On Generalized Whitehead Products
We define a symmetric monodical pairing G ◦ H among simply connected co-H spaces G and H with the property that S(G◦H) is equivalent to the smash product G∧H as co-H spaces. We further generalize the Whitehead product map to a map G ◦ H → G ∨ H whose mapping cone is the cartesian product. Whitehead products have played an important role in unstable homotopy. They were originally introduced [Whi...
متن کاملWhitehead Products in Function Spaces: Quillen Model Formulae
We study Whitehead products in the rational homotopy groups of a general component of a function space. For the component of any based map f : X → Y , in either the based or free function space, our main results express the Whitehead product directly in terms of the Quillen minimal model of f . These results follow from a purely algebraic development in the setting of chain complexes of derivat...
متن کاملIdeal Whitehead graphs in Out(Fr). I. Some unachieved graphs
Masur and Smillie, 1993, proved precisely which singularity index lists arise from pseudo-Anosov mapping classes. In search of an analogous theorem for outer automorphisms of free groups, Handel and Mosher, 2011, ask: Is each connected, simplicial, (2r − 1)-vertex graph the ideal Whitehead graph of a fully irreducible φ ∈ Out(Fr)? We answer this question in the negative by exhibiting, for each ...
متن کاملDeformations of Whitehead Products, Symplectomorphism Groups, and Gromov–Witten Invariants
homotopy groups π∗(Xλ)⊗Q for a family of topological spaces, once we know enough about their additive structure. This allows us to interpret the condition of realizing as an Ak map a multiple of a map f : S1 −→ G between two topological groups in terms of the existence of a rational Whitehead product of order k. Our main example will be when the Xλ are classifying spaces of symplectomorphism gr...
متن کاملSOME REMARKS ON sn-METRIZABLE SPACES
This paper shows that sn-metrizable spaces can not be characterized as sequence-covering, compact, σ-images of metric spaces or sn-open, π, σ-images of metric spaces. Also, a space with a locally countable sn-network need not to be an sn-metrizable space. These results correct some errors on sn-metrizable spaces. AMS Mathematics Subject Classification (2000): 54C05, 54E35, 54E40
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ژورنال
عنوان ژورنال: Topology
سال: 1965
ISSN: 0040-9383
DOI: 10.1016/0040-9383(65)90046-7