Polynomials and the Steenrod Algebra
by Grant Walker, Reg Wood
Publisher: University of Manchester 2010
Number of pages: 121
This book investigates the Steenrod algebra A2 over the field of two elements F2 in a purely algebraic context by its action on the polynomial algebra P(n) in n variables over F2 and treats the hit problem of finding the irreducibles of this action as a recurrent theme throughout. The reader is expected to have a basic knowledge of algebra.
Home page url
Download or read it online for free here:
by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov - American Mathematical Society
This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.
by Peter Saveliev - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
by Carlo Mazza, Vladimir Voevodsky, Charles Weibel - AMS
This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings.
by J. P. May - Springer
The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.