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 language||English (US)|
|Number of pages||9|
|Journal||Pacific Journal of Mathematics|
|State||Published - Mar 1973|
ASJC Scopus subject areas