Three remarks on symmetric products and symmetric maps

V. P. Snaith, J. J. Ucci

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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
DOIs
StatePublished - Mar 1973

ASJC Scopus subject areas

  • Mathematics(all)

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