Abstract
In an earlier paper of the same name (2] the connection between algebraic functions and braids was used in order to calculate the cohomologies of braid groups. In this work the cohomologies of braid groups are used to confirm the non-representability of algebraic functions of a certain number of variables as superpositions of algebraic functions of a smaller number of variables.
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© 1970 Russ. Acad. Sciences
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Arnold, V.I. (1970). Topological invariants of algebraic functions II. In: Givental, A., Khesin, B., Varchenko, A., Vassiliev, V., Viro, O. (eds) Vladimir I. Arnold - Collected Works. Vladimir I. Arnold - Collected Works, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31031-7_24
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DOI: https://doi.org/10.1007/978-3-642-31031-7_24
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-31031-7
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