Three remarks on symmetric products and symmetric maps

V. P. Snaith, John J Ucci

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Abstract

The first remark establishes that the homotopy type of a certain space related to the m-fold symmetric product SPmSn of the n-sphere is that of an nth suspension space. Remark two generalizes a well-known adjunction formula for SP2Sn due to Steenrod to a filtration of length m of SPmSn. The final remark provides a group-theoretic construction of G-maps f: (Sn)m → Sn where G ⊂ S(m) acts on (Sn)m by permutation of its factors.

Original languageEnglish (US)
Pages (from-to)369-377
Number of pages9
JournalPacific Journal of Mathematics
Volume45
Issue number1
StatePublished - 1973

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ASJC Scopus subject areas

  • Mathematics(all)

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Snaith, V. P., & Ucci, J. J. (1973). Three remarks on symmetric products and symmetric maps. Pacific Journal of Mathematics, 45(1), 369-377.