Compute $\pi_2(S^2 \vee S^2)$

I think the question meant to ask about $\pi_2(S^2 \vee S^2)$. Since $\pi_0$ and $\pi_1$ vanish, the Hurewicz map gives an isomorphism $\pi_2(S^2 \vee S^2) \to H_2(S^2 \vee S^2) = \mathbb{Z}^2.$

Tags:

General Topology

Homotopy Theory

Cw Complexes

Algebraic Topology

Related

Derive the recurrence relations When can you divide out $dx$ in an integral as if it is a fraction? UC Berkeley Integral Problem: Show that $\int_0^{2\pi} \frac{\min(\sin x, \cos x)}{\max(e^{\sin x},e^{\cos x})}\ {\rm d}x = -4\sinh(1/{\sqrt2})$. How to solve this ODE with the Laplace transform? Crux problem #33 with vector approach Argument of Feynman for equivalence of dot product definitions Does there exist a monotonically decreasing function that is its own derivative? Dice: Rolling at least N successes where number of succeses vary by dice value Show the $\arcsin$ identity: $ \arcsin(1 - 2x) + 2\arcsin(\sqrt{x}) = \pi / 2$ Show that $\phi(x):=\sum_{n=1}^{\infty}\frac{(-1)^{n}}{\sqrt{n}(1+\frac{x^{2}}{n})^{n}}$ is differentiable on $\mathbb{R}$. How does the total derivative account for dependencies behind variables (intuitively)? Show that $\sum\limits_{j,k=2}^\infty\frac{1}{j^k}$ converges and calculate the limit of the series

Recent Posts