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Primary operations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 3)

Abstract

It is good general philosophy that if you want to show that a geometrical construction is possible, you go ahead and perform it; but if you want to show that a proposed geometric construction is impossible, you have to find a topological invariant which shows the impossibility. Among topological invariants we meet first the homology and cohomology groups, with their additive and multiplicative structure. Afte that we meet cohomology operations, such as the celebrated Steenrod square.

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© 1966 Springer-Verlag Berlin Heidelberg

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Adams, J.F. (1966). Primary operations. In: Stable Homotopy Theory. Lecture Notes in Mathematics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-15905-7_2

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  • DOI: https://doi.org/10.1007/978-3-662-15905-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-15907-1

  • Online ISBN: 978-3-662-15905-7

  • eBook Packages: Springer Book Archive