Davis, J. F. and Kirk, P.Lecture notes in algebraic topology (Graduate Studies in Mathematics, no. 35, American Mathematical Society, 2001), xvi+367 pp., 0 8218 2160 1 (hardback), $55.00

Math 215b Notes: Algebraic Topology

1. Simplices, ∆-Complexes, and Homology: 1/8/15 1 2. Properties of Singular Homology: 1/13/15 4 3. Homotopy Invariance of Singular Homology: 1/15/15 7 4. Applications of Homotopy Invariance and Excision: 1/20/15 10 5. Equivalence of Singular and Simplicial Homology: 1/22/15 14 6. Degrees of Maps on Sn: 1/27/15 17 7. The Mayer-Vietoris Sequence and Applications: 1/29/15 20 8. CW Complexes: 2/3/1...

MATH5665: Algebraic Topology- Course notes

These are the lecture notes for an Honours course in algebraic topology. They are based on standard texts, primarily Munkres’s “Elements of algebraic topology” and to a lesser extent, Spanier’s “Algebraic topology”. 1 What’s algebraic topology about? Aim lecture: We preview this course motivating it historically. Recall that a continuous map f : X −→ Y of topological spaces is a homeomorphism i...

Algebraic Topology Notes: Homotopy Theory

Notes on homotopy theory, the first part of a trilogy on algebraic topology. Any typos, errors, mistakes, gaffes, etc., are entirely my folly.

©1985 American Mathematical Society

Schrödinger equation, the neutron transport equation, Maxwell's equations, and the Dirac equation. A notable feature of the book is the treatment of second-order elliptic and parabolic problems in L and L spaces. Fattorini does a nice job of explaining the Agmon-Douglis-Nirenberg elliptic machinery (in the second-order case), making it accessible to a wide audience. An important feature of the ...

The American Mathematical Society.