Abstract
We now begin our study of topological invariants, by considering the “Euler number” or “Euler characteristic.” This assigns an integer to each topological space in a way that tells us something about the topology of the space. In particular, it can sometimes tell if two spaces are not homotopy equivalent, since spaces which are homotopy equivalent have the same Euler number.
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© 2010 Springer-Verlag London Limited
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Crossley, M.D. (2010). The Euler Number. In: Essential Topology. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/1-84628-194-6_7
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DOI: https://doi.org/10.1007/1-84628-194-6_7
Publisher Name: Springer, London
Print ISBN: 978-1-85233-782-7
Online ISBN: 978-1-84628-194-5
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