A basic course in algebraic topology by Massey

By Massey

This e-book is meant to function a textbook for a path in algebraic topology in the beginning graduate point. the most themes lined are the class of compact 2-manifolds, the basic workforce, protecting areas, singular homology concept, and singular cohomology concept. those subject matters are constructed systematically, warding off all unecessary definitions, terminology, and technical equipment. anywhere attainable, the geometric motivation at the back of many of the techniques is emphasised. The textual content includes fabric from the 1st 5 chapters of the author's prior publication, ALGEBRAIC TOPOLOGY: AN advent (GTM 56), including just about all of the now out-of- print SINGULAR HOMOLOGY thought (GTM 70). the fabric from the sooner books has been conscientiously revised, corrected, and taken brand new.

Show description

Read Online or Download A basic course in algebraic topology PDF

Best algebraic geometry books

Introduction to Analysis of the Infinite

I've got divided this paintings into books; within the first of those i've got limited myself to these issues bearing on natural research. within the moment ebook i've got defined these factor which has to be recognized from geometry, for the reason that research is often built in any such method that its program to geometry is proven.

Ramanujan's lost notebook

This quantity is the second one of roughly 4 volumes that the authors plan to put in writing on Ramanujan’s misplaced computer, that is extensively interpreted to incorporate all fabric released within the misplaced computing device and different Unpublished Papers in 1988.  the first subject matters addressed within the authors’ moment quantity at the misplaced pc are q-series, Eisenstein sequence, and theta capabilities.

The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry

Algebraic Geometry usually turns out very summary, yet in reality it really is packed with concrete examples and difficulties. This part of the topic should be approached in the course of the equations of a spread, and the syzygies of those equations are an important a part of the learn. This publication is the 1st textbook-level account of simple examples and methods during this zone.

p-Adic Automorphic Forms on Shimura Varieties

This ebook covers the subsequent 3 themes in a fashion available to graduate scholars who've an realizing of algebraic quantity thought and scheme theoretic algebraic geometry:1. An easy building of Shimura kinds as moduli of abelian schemes. 2. p-adic deformation idea of automorphic kinds on Shimura types.

Extra resources for A basic course in algebraic topology

Example text

S/. In fact, the converse of this statement is also true: Theorem 17 ([54, Thm. 1]). S/ that has hD; Di D 0. Then there exists an n such that nD is the class of a fibre in a genus one fibration on S. S/ with hD; Di D 0. Then, possibly after negating, we may assume that D is in the closure of the positive cone CS . 34 A. Harder and A. S/. D/ is the class of a fibre in a genus one fibration. Thus we have: Corollary 3 ([54, Cor. 3]). S/ admits a nonzero element u with hu; ui D 0. Example 17 (Anticanonical hypersurfaces in P1 P2 ).

Harder was supported by an NSERC PGS D scholarship and a University of Alberta Doctoral Recruitment Scholarship. A. Thompson was supported by a Fields-Ontario-PIMS postdoctoral fellowship with funding provided by NSERC, the Ontario Ministry of Training, Colleges and Universities, and an Alberta Advanced Education and Technology Grant. Appendix: Lattice Theory In this appendix we present a short description of the lattice theory that is used in the preceding article. The main reference for this section will be [49].

2) 77, 563–626 (1963) 32. : On compact analytic surfaces, III. Ann. Math. (2) 78, 1–40 (1963) 33. : Threefolds and deformations of surface singularities. Invent. Math. 91(2), 299–338 (1988) 34. : Algebraic K3 surfaces with finite automorphism groups. Nagoya Math. J. 116, 1–15 (1989) 35. : Abelian varieties attached to polarized K3 -surfaces. Math. Ann. 169, 239–242 (1967) 36. : Degenerations of K3 surfaces and Enriques surfaces. Math. USSR Izv. 11(5), 957–989 (1977) 37. : On modifications of degenerations of surfaces with Ä D 0.

Download PDF sample

Rated 4.84 of 5 – based on 48 votes