Fundamental Groups and the Van Kampen’s Theorem

نویسنده

  • ANG LI
چکیده

In this paper, we start with the definitions and properties of the fundamental group of a topological space, and then proceed to prove VanKampen’s Theorem, which helps to calculate the fundamental groups of complicated topological spaces from the fundamental groups we know already. We also use the properties of covering space to prove the Fundamental Theorem of Algebra and Brouwer’s Fixed Point Theorem.

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تاریخ انتشار 2013