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Topology: 2nd edition

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This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Follows the present-day trend in the teaching of topology which explores the subject much more extensively with one semester devoted to general topology and a second to algebraic topology. A popular joke is that for topologists, a doughnut and a coffee mug are the same thing, because one can be continuously transformed into the other.

James Munkres - Wikipedia

One subfield is algebraic topology, which uses algebraic tools to rigorously express intuitions such as “holes. It begins with examining different topologies one can put on familiar spaces, and constructions such as product, metric and quotient topologies. This is the first course in topology that Princeton offers, and has been taught by Professor Zoltan Szabo for the last many years. This book provides a convenient single text resource for bridging between general and algebraic topology courses.I don't know if this is because Munkres is an especially great textbook, or because the material is just naturally easy, but I certainly didn't see any flaws in the book. Carefully guides students through transitions to more advanced topics being careful not to overwhelm them.

Topology, Pearson New International Edition

More Hamburger icon An icon used to represent a menu that can be toggled by interacting with this icon. in which one would usually read Topology A First Course by Munkres or a similar intro to general topology book, then follow that with something like Algebraic Topology by Hatcher and Differential Topology by Guillemin and Pollack and Milnors Topology from the Differentiable Viewpoint.Munkres does not assume much of the student and explicate every subjects with a great deal of details, Venn diagrams and a large set of examples and questions to supplement the reader's ability to affirm and test his understanding.

Topology – Princeton University Math Club Topology – Princeton University Math Club

Web icon An illustration of a computer application window Wayback Machine Texts icon An illustration of an open book.If one is explicitly trying to learn about point-set topology, the extensive variety of different point-set properties, and all of the pathological examples, then this is four or five stars.

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