@article{oai:soar-ir.repo.nii.ac.jp:00012039,
author = {KIKKAWA, S and MUKAI, J and TAKABA, D},
issue = {1},
journal = {信州大学理学部紀要},
month = {Oct},
note = {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, 信州大学理学部紀要 33(1): 1-7(1998)},
pages = {1--7},
title = {Cohomotopy sets of projective planes},
volume = {33},
year = {1998}
}