William Fulton's Algebraic Topology: A First Course (Graduate Texts in PDF

By William Fulton

ISBN-10: 0387943277

ISBN-13: 9780387943275

To the trainer. This e-book is designed to introduce a pupil to a couple of the $64000 principles of algebraic topology through emphasizing the re­ lations of those rules with different components of arithmetic. instead of deciding on one perspective of modem topology (homotopy idea, simplicial complexes, singular concept, axiomatic homology, fluctuate­ ential topology, etc.), we focus our realization on concrete prob­ lems in low dimensions, introducing in simple terms as a lot algebraic machin­ ery as invaluable for the issues we meet. This makes it attainable to determine a greater diversity of significant positive factors of the topic than is common in a starting textual content. The publication is designed for college kids of arithmetic or technology who're no longer aiming to develop into practising algebraic topol­ ogists-without, we are hoping, discouraging budding topologists. We additionally think that this method is in higher concord with the historic devel­ opment of the topic. What might we adore a pupil to understand after a primary direction in to­ pology (assuming we reject the reply: half what one would favor the coed to understand after a moment path in topology)? Our solutions to this have guided the alternative of fabric, inclusive of: less than­ status the relation among homology and integration, first on airplane domain names, in a while Riemann surfaces and in better dimensions; wind­ ing numbers and levels of mappings, fixed-point theorems; appli­ cations reminiscent of the Jordan curve theorem, invariance of area; in­ dices of vector fields and Euler features; primary groups

Show description

Read Online or Download Algebraic Topology: A First Course (Graduate Texts in Mathematics) PDF

Best geometry & topology books

Download PDF by R. Miron: The Geometry of Higher-Order Hamilton Spaces: Applications

This booklet is the 1st to provide an outline of higher-order Hamilton geometry with functions to higher-order Hamiltonian mechanics. it's a direct continuation of the publication The Geometry of Hamilton and Lagrange areas, (Kluwer educational Publishers, 2001). It comprises the final concept of upper order Hamilton areas H(k)n, k>=1, semisprays, the canonical nonlinear connection, the N-linear metrical connection and their constitution equations, and the Riemannian nearly touch metrical version of those areas.

Get Locally Conformal Kähler Geometry (Progress in Mathematics) PDF

. E C, zero '1 . be the O-dimensional Lie n team generated through the transformation z ~ >. z, z E C - {a}. Then (cf.

New PDF release: Discrete Differential Geometry: 38 (Oberwolfach Seminars)

This can be the 1st booklet on a newly rising box of discrete differential geometry supplying a good technique to entry this fascinating region. It offers discrete equivalents of the geometric notions and techniques of differential geometry, akin to notions of curvature and integrability for polyhedral surfaces.

Recent Advances in Algebraic Geometry (London Mathematical by Christopher D. Hacon,Mircea Mustaţă,Mihnea Popa PDF

Modern study in algebraic geometry is the point of interest of this assortment, which offers articles on glossy features of the topic. The record of themes coated is a roll-call of a few of crucial and lively topics during this thriving region of arithmetic: the reader will locate articles on birational geometry, vanishing theorems, complicated geometry and Hodge concept, loose resolutions and syzygies, derived different types, invariant thought, moduli areas, and comparable issues, all written by means of top specialists.

Additional resources for Algebraic Topology: A First Course (Graduate Texts in Mathematics)

Sample text

Download PDF sample

Algebraic Topology: A First Course (Graduate Texts in Mathematics) by William Fulton


by Thomas
4.3

Rated 4.61 of 5 – based on 43 votes