This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham s theorem on simplicial complexes. In addition, Sullivan s results on computing the rational homotopy type from forms is presented.

New to the Second Edition:

*Fully-revised appendices including an expanded discussion of the Hirsch...

In 2008 the first in a series of symposia established a 'social realist' case for 'knowledge' as an alternative to the relativist tendencies of the constructivist, post-structuralist and postmodernist approaches dominant in the sociology of education. The second symposium focused on curriculum, and the development of a theoretical language grounded in social realism to talk about issues of knowledge and curriculum. Finally, the third symposium brought together researchers in a broad range of contexts to build on these ideas and arguments and, with a concerted empirical focus, bring these...