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He was known for his book on non-Euclidean geometry (1st edition, 1974; 4th edition, 2008) [3] [4] and his book on algebraic topology (1st edition, 1967, published with the title Lectures on Algebraic Topology; revised edition published, with John R. Harper as co-author, in 1981 with the title Algebraic Topology: A First Course). [5] [6] [7]
His research interests lay in the area of algebra, involving abelian groups, modules, homological algebra, and combinatorics. [5] Rotman was the Managing Editor of the Proceedings of the American Mathematical Society in 1972–1973. [4] In 1985 he was the Annual Visiting Lecturer of the South African Mathematical Society. [6]
110 Differential Algebraic Topology: From Stratifolds to Exotic Spheres, Matthias Kreck (2010, ISBN 978-0-8218-4898-2) 111 Ricci Flow and the Sphere Theorem, Simon Brendle (2010, ISBN 978-0-8218-4938-5) 112 Optimal Control of Partial Differential Equations: Theory, Methods and Applications, Fredi Troltzsch (2010, ISBN 978-0-8218-4904-0)
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence. Although algebraic topology primarily uses algebra to study topological ...
The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...
Tammo tom Dieck 1972. Tammo tom Dieck (29 May 1938, São Paulo) is a German mathematician, specializing in algebraic topology.. Tammo tom Dieck studied mathematics from 1957 at the University of Göttingen and at Saarland University, where he received his promotion (Ph.D.) in 1964 under Dieter Puppe with thesis Zur -Theorie und ihren Kohomologie-Operationen. [1]
Differential graded algebra: the algebraic structure arising on the cochain level for the cup product; Poincaré duality: swaps some of these; Intersection theory: for a similar theory in algebraic geometry
Topological fixed point theory of multivalued mappings, Lech Górniewicz, Springer, 1999, ISBN 978-0-7923-6001-8; Topological degree theory and applications, Donal O'Regan, Yeol Je Cho, Yu Qing Chen, CRC Press, 2006, ISBN 978-1-58488-648-8; Mapping Degree Theory, Enrique Outerelo, Jesus M. Ruiz, AMS Bookstore, 2009, ISBN 978-0-8218-4915-6