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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I’ll try to see this one! On graduate level non-introductory books are Kelley and Dugunji or Dugundji? As an introductory book, ” Topology without tears ” by S.
I would suggest the following options: The course will be taught in English. I like John Kelley’s book General Topology a lot. Edelstein wrote that this was “one of the best among the numerous books on the subject”,  and it went through numerous reprintings.
I learned the basics from the first general half of Munkres, which I liked. I found that later, when I took abstract real analysis, I really liked the concise but still relatively comprehensive treatment in Folland’s topoloogy on real analysis Chapter 4.
topoloyy Apparently the poster was also interested in self-learning, but with less preparation than you. In your answers to the exam problems you may freely refer to anything in Munkres’ book or in my lecture notes.
Please look at the review of “Topology and Groupoids” http: Definitely gives an otherworldly perspective though. You might consider Topology Now!
Also, another great introductory book is Munkres, Topology. When I read sections on Munkres about things I’ve known for years, the explanations still seem turgid and overcomplicated. I will second the suggestion for Munkres.
See in particular p. Dugunsji is great for point-set, but not so good for algebraic. I just would like to know if you guys know the best one.
This is dugunddji really awesome book! Hope I didn’t miss this above: I felt a bit that way when I first encountered the book in the late 60s!
Finite, countable and uncountable sets, cardinal numbers. So I have collected most of the topology recommendations from MSE and a few from MO and a few other sources and written up a post at my blog, mixedmath.
Here is an excellent introduction to topology with several pictures and animantions. Scott Maybe not I borrowed it to someone and forgot it – so I miss it anyway haha. It’s good for a second pass through for topologythat is, if you read German. I bought Alexandroff’s ” Elementary Concepts of Topology ” too – believe me, it’s not good for an introduction.
Sign up using Facebook. The incomplete Dictionary contributions are welcome provides translation of topological terms into a few European languages. The problem sessions will start the second week of the semester. Other than point-set topology which most of the comments below are addressingdifferential topology is also a nice entry-point.
My own lecture notes dvi pdf for the course. Best book for topology? University of Southern California. So, as he said, “think of this second half as an attempt by someone with general topology background, to explore the Algebraic Topology. See also below for more relevant literature. Why don’t you ask a topologist? I am now only looking for good books.
I recommended Viro’s Elementary Topology. See also the links below. Wilansky has an excellent section on Baire spaces and induced topologies. Monday Jan 10 at The three hour written exam is scheduled to January 14th Infinite setswell-ordered sets, ordinal numbersAxiom of choiceZermelo’s well ordering theorem, Hausdorff’s maximum principle, Zorn’s lemma.
TOPOLOGICAL GROUPS AND DUGUNDJI COMPACTA – IOPscience
Sorry to revive this. What book are we taking about? Extreme value theorem, Lebesgue lemma, Uniform continuity theorem. Again, quoting Munkres, at the time he was writing the book he knew very little of Algebraic Topology, his speciality was General point-set topology.