Introduction by Ronnie Brown

نویسنده

  • Ronnie Brown
چکیده

The theory we describe in this book was developed over a long period, starting about 1965, and always with the aim of developing groupoid methods in homotopy theory of dimension greater than 1. Algebraic work made substantial progress in the early 1970s, in work with Chris Spencer, and in 1974 by Brown and Higgins. A substantial step forward in 1974 led us over the years into many fruitful areas of homotopy theory and what is now called higher dimensional algebra. We published detailed reports on all we found as the journey proceeded, but the overall picture of the theory is still not well known. So the aim of this book is to give a full, connected account of this work in one place, so that it can be more readily evaluated and used appropriately.

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تاریخ انتشار 2009