J. Dugundji, “Topology,” Allyn and Bacon, Inc., Boston, has been cited by the following article: TITLE: Continuous Maps on Digital Simple Closed Curves. James Dugundji (August 30, – January, ) was an American mathematician, Dugundji is the author of the textbook Topology (Allyn and Bacon, ), Dugundji, J. (), “An extension of Tietze’s theorem”, Pacific Journal of. J. Dugundji. Topology. (Reprint of the Edition. Allyn and Bacon Series in try/topology sequence, and accordingly no detailed knowledge of definitions.
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What is the difference between connected and path-connected? Apparently the poster was also interested in self-learning, but with less preparation than you.
Texts by Guillemin and Pollack, Milnor and Hirsch with that or similar titles are all very nice. Urysohn lemma, Tietze extension theorem. The Topological Zoo Klein Bottles for sale. Also Chapter 2 of J.
Munkres says in introduction of his book that he does not want to get bogged down in tkpology lot of weird counterexamples, and indeed you don’t want to get bogged down in them. There is a print version, which comes with hints and some solutions. The incomplete Dictionary contributions are welcome provides translation of topological terms into a few European languages.
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It is not as elementary as Munkres, but for a graduate student it would make a nice guide. Wilansky has an excellent section on Baire spaces and induced topologies. The book is quite readable with many great illustrations.
Do more recently printed editions have more modern notation? Croom Foundation of Topology by C. Best of all, it’s provided free but without any solutions. I’m not sure if there’s such a thing as “the” best general, I’m assuming topology topologgy. The problem sessions will start the second week of the semester. Like say Adams’s book “The knot book” or something similar.
Very concise dugudji clear. I know a lot of people like Munkres, but I’ve never been one of them. Infinite setswell-ordered sets, ordinal numbersAxiom of choiceZermelo’s well ordering theorem, Hausdorff’s maximum principle, Zorn’s lemma.
Or look at the Topology Atlas? You can download PDF for free, but you might need to obtain a key to read the file from the author. Other than point-set topology which most of the comments below are addressingdifferential topology is also tolology nice entry-point. See this mathoverflow discussion. Topology and Geometry a useful synopsis.
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Please look at the review of “Topology and Groupoids” http: Those of you who prefer something shorter, may find Chapter I: I agree with your additional comment on Kelley: A note about Munkres: I CAN read it, but I am spending so much time on each page that I came here looking for a book with more words in these poofs. Perhaps you can take a look at Allen Hatcher’s webpage for more books on introductory topology. In your answers to the exam problems you may freely refer to anything in Munkres’ book or in my lecture notes.
The diagonal embedding theorem. You might look at the answers to this previous MSE question, which had a slightly different slant: Browsing through Counterexamples in Topology will be enlightening, especially if you are using Munkres, who tries hard to avoid weird counterexamples.