Abstract
Let p be a prime and let πn(X; ℤ/pr) = [X, Mn(ℤ/pr)] be the set of homotopy classes of based maps from CW-complexes X into the mod pr Moore spaces Mn(ℤ/pr) of degree n, where ℤ/pr denotes the integers mod pr. In this paper we firstly determine the modular cohomotopy groups πn(X; ℤ/pr) up to extensions by classical methods of primary cohomology operations and give conditions for the splitness of the extensions. Secondly we utilize some unstable homotopy theory of Moore spaces to study the modular cohomotopy groups; especially, the group π3(X; ℤ(2)) with dim(X) ≤ 6 is determined.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
