Monomorphisms and relative whitehead products
نویسندگان
چکیده
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 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 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 کاملMonomorphisms of Coalgebras
In any concrete category C the natural problem of whether epimorphisms are surjective maps arise, as well as the dual problem of whether the monomorphisms are injective maps. This type of problems have already been studied before in several well known categories: for example in [6] it is shown that the property of epimorphisms of being surjective holds in the categories of von Neumann algebras,...
متن کاملMonomorphisms between Cayley-Dickson Algebras
In this paper we study the algebra monomorphisms from Am = R 2m into An = R 2n for 1 ≤ m ≤ n, where An are the Cayley-Dickson algebras. For n ≥ 4, we show that there are many types of monomorphisms and we describe them in terms of the zero divisors in An.
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: 1971
ISSN: 0040-9383
DOI: 10.1016/0040-9383(71)90030-9