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Download as PDF; Printable version; ... Lindelöf's lemma is a simple but useful lemma in topology on the real line, ... M.A. Armstrong (1983), Basic Topology, ...
Some authors use the term Alexander trick for the statement that every homeomorphism of can be extended to a homeomorphism of the entire ball .. However, this is much easier to prove than the result discussed above: it is called radial extension (or coning) and is also true piecewise-linearly, but not smoothly.
M. A. Armstrong, Basic Topology, Springer-Verlag, 1983 Sasho Kalajdzievski, An Illustrated Introduction to Topology and Homotopy , CRC Press, 2010, Chapter 10: Isotopy and Homotopy This topology-related article is a stub .
Undergraduate Texts in Mathematics (UTM) (ISSN 0172-6056) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size.
In mathematics, general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology , geometric topology , and algebraic topology .
A key concept in defining simplicial homology is the notion of an orientation of a simplex. By definition, an orientation of a k-simplex is given by an ordering of the vertices, written as (v 0,...,v k), with the rule that two orderings define the same orientation if and only if they differ by an even permutation.
A three-dimensional model of a figure-eight knot.The figure-eight knot is a prime knot and has an Alexander–Briggs notation of 4 1.. Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling ...
Allen Hatcher, Algebraic Topology, Cambridge University Press, 2002. Allen Hatcher, Notes on basic 3-manifold topology. (Explains classification of L(p,q) up to homeomorphism.) Przytycki, Józef H.; Yasukhara, Akira (2003), "Symmetry of Links and Classification of Lens Spaces", Geometriae Dedicata, 98 (1): 57– 61, doi:10.1023/A:10240, MR 1988423