http://swrc.ontoware.org/ontology#UnrefereedArticle
Cohomotopy sets of projective planes
en
KIKKAWA S
MUKAI J
TAKABA D
信州大学理学部
信州大学理学部紀要 33(1): 1-7(1998)
信州大学理学部紀要
33
1
1-7
1998-10-30
We set F=R(real), C(complex), H(quaternion), O(octonian) and d=dimRF. We denote by FP² the F-projective plane. The purpose of this note is to determine the cohomotopy set πⁿ(FP²) = [FP², Sⁿ]. Let h=h(F): S²d⁻¹→Sd be the Hopf map. Then we have a cell structure FP²=SdUhℯ²d and a cofiber sequence: S²d⁻¹ h→Sd- i→FP² p→S²d ∑h→Sd⁺¹→..., (1) where i is the inclusion map, p = p(F) is a map pinching Sd to one point and ∑h is the reduced suspension of h. Our result is given by the table on page 7. Its essence is stated as follows.
Article
application/pdf
0583-063X
AA00697923