Homology, Homotopy and Applications
Volume 9 (2007)
Homotopy spectral sequences of pointed simplicial spaces
Pages: 1 – 17
Using simplicial machinery, which is analogous to that developed by Bousfield-Kan, we describe a first quadrant homotopy spectral sequence for a termwise connected pointed simplicial space $X$ in terms of differential relations on the normalized homotopy of $X$ and establish the existence of a smash product pairing.
homotopy spectral sequence; smash product pairing
2010 Mathematics Subject Classification
Primary 55T05. Secondary 18G30, 18G55, 55P65.