Homology, Homotopy and Applications

Homotopy spectral sequences of pointed simplicial spaces

Michael Paluch

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Abstract

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.

Article information

Source
Homology Homotopy Appl., Volume 9, Number 2 (2007), 1-17.

Dates
First available in Project Euclid: 23 January 2008

Permanent link to this document
https://projecteuclid.org/euclid.hha/1201127330

Mathematical Reviews number (MathSciNet)
MR2320770

Zentralblatt MATH identifier
1156.55016

Subjects
Primary: 55T05: General
Secondary: 18G30: Simplicial sets, simplicial objects (in a category) [See also 55U10] 18G55: Homotopical algebra 55P65: Homotopy functors

Keywords
Homotopy spectral sequence smash product pairing

Citation

Paluch, Michael. Homotopy spectral sequences of pointed simplicial spaces. Homology Homotopy Appl. 9 (2007), no. 2, 1--17. https://projecteuclid.org/euclid.hha/1201127330


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