The writer, a number one determine in algebraic topology, presents a latest therapy of an extended proven set of questions during this vital study zone. The book's primary objective--and major result--is the category theorem on k-variants and boundary invariants, which complement the classical photo of homology and homotopy teams, in addition to computations of sorts which are bought via employing this theorem. learn mathematicians in algebraic topology could be attracted to this new try to classify homotopy varieties of easily hooked up CW-complexes.
Read Online or Download Homotopy Type and Homology (Oxford Mathematical Monographs) PDF
Best Algebraic Geometry books
This new-in-paperback variation offers a normal creation to algebraic and mathematics geometry, beginning with the speculation of schemes, via purposes to mathematics surfaces and to the idea of relief of algebraic curves. the 1st half introduces easy gadgets akin to schemes, morphisms, base switch, neighborhood houses (normality, regularity, Zariski's major Theorem).
Contents and therapy are clean and intensely assorted from the traditional remedies provides an absolutely positive model of what it ability to do algebra The exposition is not just transparent, it really is pleasant, philosophical, and thoughtful even to the main naive or green reader
First textbook-level account of easy examples and methods during this region. compatible for self-study by means of a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.
Within the library at Trinity collage, Cambridge in 1976, George Andrews of Pennsylvania nation college came upon a sheaf of pages within the handwriting of Srinivasa Ramanujan. quickly specific as "Ramanujan’s misplaced Notebook," it comprises substantial fabric on mock theta services and definitely dates from the final 12 months of Ramanujan’s existence.
Additional info for Homotopy Type and Homology (Oxford Mathematical Monographs)