An infinite complex and the spectral sequences for complex cobordism and $K$-theory
نویسندگان
چکیده
منابع مشابه
On the Complex Bordism and Cobordism of Infinite Complexes
MU*(S°) (2) Tor*,* \MU*(X)9Z)=*H*(X;Z) by P. E. Conner and L. Smith [9]. Recently N. A. Baas [4] has written an excellent account of the Adams spectral sequence (1), and J. F. Adams has made a thorough analysis of universal coefficient theorems such as (2) in Lecture 1 of [ l ] . In §1 we announce several solutions to the problem—when is MU*(X) isomorphic to the inverse limit of the complex cob...
متن کاملComplex Cobordism Theory for Number Theorists
The purpose of this paper is to give the algebraic topological background for elliptic cohomology theory and to pose some number theoretic problems suggested by these concepts. Algebraic topologists study functors from the category of spaces to various algebraic categories. In particular there are functors to the category of graded rings called multiplicative generalized cohomology theories. (A...
متن کاملToric Topology and Complex Cobordism
We plan to discuss how the ideas and methodology of Toric Topology can be applied to one of the classical subjects of algebraic topology: finding nice representatives in complex cobordism classes. Toric and quasitoric manifolds are the key players in the emerging field of Toric Topology, and they constitute a sufficiently wide class of stably complex manifolds to additively generate the whole c...
متن کاملlexical decomposition awareness and its effect on delayed receptive and productive recognition and recall of vocabulary knowledge of morphologically complex english words: an iranian efl context
abstract lexical knowledge of complex english words is an important part of language skills and crucial for fluent language use (nation, 2001). the present study, thus, was an attempt to assess the role of morphological decomposition awareness as a vocabulary learning strategy on learners’ productive and receptive recall and recognition of complex english words. so 90 sophomores (female and ma...
15 صفحه اولThe Hopf Ring for Complex Cobordism
It is our purpose here to announce the results of our study of the homology of the spaces in the £2-spectrum for complex cobordism and BrownPeterson cohomology. Let MU(n) be the standard Thorn complex. MUk = l im^^ ü,(~~)MU(n) is the 2k space in the £2-spectrum for complex cobordism. We will consider the space MU — hmn^_00 Iï ;>n MUf-. We find this product easier to study than the separate fact...
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: Proceedings of the American Mathematical Society
سال: 1974
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1974-0334187-0