Bourbaki

Exercise 2, § 2

General Topology, VI

Define a homeomorphism of Sp×SqS_p \times S_q onto a subset of Sp+q+1S_{p+q+1} [note that the equation of Sp+q+1S_{p+q+1} is

(x12+⋯+xp+12)+(xp+22+⋯+xp+q+22)=1]. (x_1^2 + \cdots + x_{p+1}^2) + (x_{p+2}^2 + \cdots + x_{p+q+2}^2) = 1].

Solution

No solution has been written yet.

Transcribed from the printed volume. Not translated.