James maps and $E\sb{n}$ ring spaces
نویسندگان
چکیده
منابع مشابه
James Maps and £ „ Ring Spaces
We parametrize by operad actions the multiplicative analysis of the total James map given by Caruso and ourselves. The target of the total James map J=2jqC(R",X)-^\[QDq(R",X) <7>0 is an En ring space and j is a S„-map, where 6„ is the little n-cubes operad. This implies thaty has an n-fold delooping with domain 2"X It also implies an algorithm for the calculation of j and thus of each (jq) on m...
متن کاملJAMES MAPS AND En RING SPACES
We parametrize by operad actions the multiplicative analysis of the total James map given by Caruso and ourselves. The target of the total James map ) == ~)q: C(R n , X) ~ IT QDq(R n , X)
متن کاملSpaces of Multiplicative Maps between Highly Structured Ring Spectra
We uncover a somewhat surprising connection between spaces of multiplicative maps between A∞-ring spectra and topological Hochschild cohomology. As a consequence we show that such spaces become infinite loop spaces after looping only once. We also prove that any multiplicative cohomology operation in complex cobordisms theory MU canonically lifts to an A∞-map MU → MU . This implies, in particul...
متن کاملJames Maps , Segal Maps , and the Kahn - Priddy Theorem
The standard combinatorial approximation C(R n, X) to Qn~nx is a filtered space with easily understood filtration quotients Di Rn, X). Stably, C( Rn, X) splits as the wedge of the Di Rn, X). We here analyze the multiplicative properties of the James maps which give rise to the splitting and of various related combinatorially derived maps between iterated loop spaces. The target of the total Jam...
متن کاملContractive maps in Mustafa-Sims metric spaces
The xed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal[Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms ofanticipative contractions over the associated (standard) metric space.
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: Transactions of the American Mathematical Society
سال: 1984
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1984-0719670-9