Span of Dold Manifolds
نویسندگان
چکیده
منابع مشابه
On Parallelizability and Span of the Dold Manifolds
The Dold manifold P (m,n) is obtained from the product Sm × CPn of the m-dimensional sphere and n-dimensional complex projective space by identifying (x, [z1, . . . , zn+1]) with (−x, [z̄1, . . . , z̄n+1]), where z̄ denotes the complex conjugate of z. We answer the parallelizability question for the Dold manifolds P (m,n) and, by completing an earlier (2008) result due to Peter Novotný, we solve t...
متن کاملTHE DOLD-KAN CORRESPONDENCE 1. Simplicial sets
We have just seen that the category ∆ is equivalent to the subcategory consisting of the [n]. As a result, a simplicial set X• is given by specifying sets Xn for each n ∈ Z≥0, together with maps Xn → Xm for each map [m] → [n] in ∆. These maps are required to satisfy compatibility conditions (i.e., form a functor). The set Xn is called the set of n-simplices of X•. Example 1.3. Let X be a topolo...
متن کاملPartial Monoids and Dold-thom Functors
Dold-Thom functors are generalizations of infinite symmetric products, where integer multiplicities of points are replaced by composable elements of a partial abelian monoid. It is well-known that for any connective homology theory, the machinery of Γ-spaces produces the corresponding linear Dold-Thom functor. In this note we show how to obtain such functors directly
متن کاملThe Equivariant Dold-thom Theorem
(1) A. Dold, R. Thom, Quasifaserungen und unendliche symmetrische produkte, Ann. of Math. (2) 67 (1958), 239–281. (2) E. Spanier, Infinite symmetric products, function spaces, and duality, Ann. of Math. (2) 69 (1959), 142–198. (3) M. C. McCord, Classifying spaces and infinite symmetric products, Trans. Amer. Math. Soc. 146 (1969), 273–298. (4) M. G. Barratt, S. Priddy, On the homology of non-co...
متن کاملMultiple point of self-transverse immesions of certain manifolds
In this paper we will determine the multiple point manifolds of certain self-transverse immersions in Euclidean spaces. Following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to Dold manifold $V^5$ or a boundary. We will show there is an immersion of $S^7times P^2$ in $mathbb{R}^{1...
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: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2008
ISSN: 1370-1444
DOI: 10.36045/bbms/1225893948