Algebraic Topology Notes, Part Ii: Fundamental Group
نویسنده
چکیده
The teaching material that forms this web site is copyright. Other than for the purposes of and subject to the conditions prescribed under the Copyright Act, no part of it may in any form or by any means (electronic, mechanical, microcopying, photocopying, recording or otherwise) be altered, reproduced, stored in a retrieval system or transmitted without prior written permission from the University of Sydney. COPYRIGHT. The University of Sydney 2003 (revised in June 2011 and
منابع مشابه
The Fundamental Group and Covering Spaces
These notes, from a first course in algebraic topology, introduce the fundamental group and the fundamental groupoid of a topological space and use them to classify covering spaces.
متن کاملOn subgroups of topologized fundamental groups and generalized coverings
In this paper, we are interested in studying subgroups of topologized fundamental groups and their influences on generalized covering maps. More precisely, we find some relationships between generalized covering subgroups and the other famous subgroups of the fundamental group equipped with the compact-open topology and the whisker topology. Moreover, we present some conditions unde...
متن کاملAlgebraic 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.
متن کاملDeformation of Outer Representations of Galois Group II
This paper is devoted to deformation theory of "anabelian" representations of the absolute Galois group landing in outer automorphism group of the algebraic fundamental group of a hyperbolic smooth curve defined over a number-field. In the first part of this paper, we obtained several universal deformations for Lie-algebra versions of the above representation using the Schlessinger criteria for...
متن کاملThe Fundamental Group of an Algebraic Curve Seminar on Algebraic Geometry, Mit 2002
In this seminar we study geometric properties of algebraic curves, or of Riemann surfaces, with the help of an algebraic object attached: the fundamental group, either the algebraic fundamental group, as introduced by Grothendieck, or the topological fundamental group. Here is the central idea of the seminar. To an algebraic curve X over a eld K we can attach the fundamental group (either in th...
متن کامل