Topology (PDF)

Stefan Waldmann is a mathematician working in mathematical physics. His main interests are in symplectic geometry, Poisson geometry and deformation quantization using methods from locally convex analysis, differential geometry and algebra.

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“Stefan Waldmann’s Topology provides a fast-moving introduction to the core concepts of topology. … this is a well put-together introduction to most of the fundamental topics of topology necessary for the study of advanced mathematics. A student well-versed in the notions of set theory and metric spaces should find this an appropriate introductory resource for topology. Additionally, the book provides a very nice and conveniently compact reference for the standard topics of general topology … .” (Keith Jones, MAA Reviews, June, 2015)

“This nifty little volume brings to a broad English-speaking audience the lectures on topology that Waldmann … gave at Erlangen in the summer of 2012. … Readers should note the decent index, the short but surprisingly far-flung list of references, the many exercises, and the goodly number of illustrative figures, many delicately spot-colored for greater intelligibility, that round out this work. Summing Up: Recommended. Graduate students, researchers/faculty, and professionals.” (F. E. J. Linton, Choice, Vol. 52 (6), February, 2015)“The book is built as a series of lecture notes on topology, a classical and fundamental part of mathematics which should be known by every student, offering a first introduction to this topic. The text is self-contained and enriched with many exercises which enable the students to consolidate the notions discussed in the core of the course. … The book is a valuable asset for self-study for students and can be recommended as a solid basis of a topology course.” (Corina Mohorianu, zbMATH, Vol. 1301, 2015)