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The book is organized historically, and reviewer Robert Bradley divides the topics of the book into three parts. [3] The first part discusses the earlier history of polyhedra, including the works of Pythagoras, Thales, Euclid, and Johannes Kepler, and the discovery by René Descartes of a polyhedral version of the Gauss–Bonnet theorem (later seen to be equivalent to Euler's formula).
In mathematics, Lehrbuch der Topologie (German for "textbook of topology") is a book by Herbert Seifert and William Threlfall, first published in 1934 and published in an English translation in 1980. It was one of the earliest textbooks on algebraic topology, and was the standard reference on this topic for many years. Albert W. Tucker wrote a ...
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 ...
The book, which went into a second edition in 1931, was the first English-language textbook on topology, and served for many years as the standard reference for the domain. Its contents were based on the work of Henri Poincaré as well as Veblen's own work with his former student and colleague, James Alexander .
Topology was a peer-reviewed mathematical journal covering topology and geometry. It was established in 1962 and was published by Elsevier . The last issue of Topology appeared in 2009.
Poul Heegaard (Danish: [ˈhe̝ˀˌkɒˀ] ⓘ; November 2, 1871, Copenhagen - February 7, 1948, Oslo) was a Danish mathematician active in the field of topology.His 1898 thesis introduced a concept now called the Heegaard splitting of a 3-manifold.
With a diverse set of applications in mind, it was natural to try to put the whole subject on a uniform basis. There were several attempts before the subject settled down. An approximate history can be stated as follows: Cartan-Eilenberg: In their 1956 book "Homological Algebra", these authors used projective and injective module resolutions.
In topology, a proximity space, also called a nearness space, is an axiomatization of the intuitive notion of "nearness" that hold set-to-set, as opposed to the better known point-to-set notion that characterize topological spaces.