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Fundamental group

Seifert-van Kampen theorem

For
$$
X_n=\bigvee_{i=1}^nS^1\vee\mathbb{RP}^2,
$$
the Seifert-van Kampen theorem gives
$$
\pi_1(X_n)\cong F_n*C_2
=\langle a_1,\ldots,a_n,b\mid b^2=1\rangle.
$$


Fundamental group of a wedge of circles and a real projective plane

Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 3 / 20H / b / Solution

Fundamental group of a wedge of circles and a real projective plane

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Fundamental group of a wedge of circles and a real projective plane

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