The suspension order of the real even dimensional projective space

Abstract

The purpose of this paper is to prove the truth of the conjecture in [12]: The suspension order of the real even dimensional projective space coincides with its stable order determined by Toda [21] (see Silberbush and Ucci [19]). We obtain the assertion by proving that the suspension order of the real 6-projective space is 8.

Self-Homotopy of the Double Suspension of the Real 6-Projective Space

“…The Toda bracket {( i 1,4 )η 2η3 , i 5η4 , i 6 η 5 p 6 } 1 is well defined. By [8], we have the relation…”