A First Course in Algebraic Topology, 1st Edition by A. Lahiri

By A. Lahiri

This quantity is an introductory textual content the place the subject material has been awarded lucidly so that it will aid self examine through the newcomers. New definitions are by means of compatible illustrations and the proofs of the theorems are simply available to the readers. adequate variety of examples were included to facilitate transparent knowing of the thoughts. The booklet starts off with the elemental notions of type, functors and homotopy of constant mappings together with relative homotopy. primary teams of circles and torus were taken care of besides the basic team of overlaying areas. Simplexes and complexes are awarded intimately and homology theories-simplicial homology and singular homology were thought of besides calculations of a few homology teams. The publication can be best suited to senior graduate and postgraduate scholars of varied universities and institutes.

Show description

Read or Download A First Course in Algebraic Topology, 1st Edition PDF

Best topology books

Introduction to Topological Manifolds (Graduate Texts in Mathematics)

This booklet is an creation to manifolds in the beginning graduate point, and available to any scholar who has accomplished a great undergraduate measure in arithmetic. It includes the fundamental topological rules which are wanted for the extra research of manifolds, really within the context of differential geometry, algebraic topology, and comparable fields.

Braids and Coverings: Selected Topics (London Mathematical Society Student Texts)

This publication relies on a graduate path taught by way of the writer on the college of Maryland. The lecture notes were revised and augmented by means of examples. the 1st chapters enhance the ordinary conception of Artin Braid teams, either geometrically and through homotopy idea, and talk about the hyperlink among knot conception and the combinatorics of braid teams via Markou's Theorem.

Convergence and Uniformity in Topology. (AM-2) (Annals of Mathematics Studies)

The outline for this publication, Convergence and Uniformity in Topology. (AM-2), might be imminent.

Extra info for A First Course in Algebraic Topology, 1st Edition

Sample text

Existence off* gives thatf(l) g(l). Since f * is closed, we also have f(O) g(O). 11. So,f- g. 11. This gives that f* null path. g is homotopic to a EXERCISES I. In R2 let A = ((x, y) : x = 0, - 1 Sy S I} and B = ((x, y) : 0 < x S l, y =cos nix}. Show that F = A u B is connected but not path connected. 32 ALGEBRAIC TOPOLOGY 2. In R2 let A = {(x, y) : 0 ~ x ~ l, y = xln, n e N} and B= {

A contractible space has trivial fundamental group. A path connected space with trivial fundamental group has a special name. 3. A space is said to be simply connected if it is path connected and has trivial fundamental group for any point. 4. A contractible space is simply connected. The converse is not true. 5. e. of C). We generalise these concepts to any dimension n for n > 1. For the sake of simplicity, we consider the generalisation only to the absolute homotopy groups and not relative homotopy groups.

It may be seen that

Download PDF sample

Rated 4.31 of 5 – based on 33 votes

About the Author