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Abelian Properties of Anick Spaces

Brayton Gray
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      Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. This work describes their $H$-space properties as well as universal properties. Techniques include a new kind on Whitehead product defined for maps out of co-H spaces, calculations in an additive category that lies between the unstable category and the stable category, and a controlled version of the extension theorem of Gray and Theriault (Geom. Topol. 14 (2010), no. 1, 243-275).
      Format: Paperback / softback CONTRIBUTORS: Brayton Gray EAN: 9781470423087 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2017-03-01 CITY: GENRE: MATHEMATICS / Algebra / Linear WIDTH: 178 cm SPINE:

      Book Themes:

      Geometry, Topology

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      Brayton Gray, University of Illinois, Chicago.
      Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. This work describes their $H$-space properties as well as universal properties. Techniques include a new kind on Whitehead product defined for maps out of co-H spaces, calculations in an additive category that lies between the unstable category and the stable category, and a controlled version of the extension theorem of Gray and Theriault (Geom. Topol. 14 (2010), no. 1, 243-275).
      Format: Paperback / softback CONTRIBUTORS: Brayton Gray EAN: 9781470423087 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2017-03-01 CITY: GENRE: MATHEMATICS / Algebra / Linear WIDTH: 178 cm SPINE:

      Book Themes:

      Geometry, Topology

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      Brayton Gray, University of Illinois, Chicago.

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