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Seifert and Van Kampen Theorem on the Fundamental Group of the Union of Two Spaces. Applications

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A Basic Course in Algebraic Topology

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 127))

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Abstract

So far we have actually determined the structure of the fundamental group of only a very few spaces (e.g., contractible spaces, the circle). To be able to apply the fundamental group to a wider variety of problems, we must know methods for determining its structure for more spaces. In this chapter, we shall develop rather general means for doing this.

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References

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Massey, W.S. (1991). Seifert and Van Kampen Theorem on the Fundamental Group of the Union of Two Spaces. Applications. In: A Basic Course in Algebraic Topology. Graduate Texts in Mathematics, vol 127. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-9063-4_4

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