By Satya Deo

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Thank you anon for the djvu add, I simply switched over and did ocr with tesseract. I didn't like Munkres type (too verbose imo) this one is way better.

-- Reviews

when i used to be a scholar, this and Munkres have been the topology books opposed to which each and every different publication used to be measured.

And whereas Munkres used to be of a extra introductory taste, this used to be the genuine deal.

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There are just a number of vintage encyclopaedic texts on undergraduate topology, and Dugundji's is one among them. And between such books, this is often my favorite as the others are too outdated or too voluminous. Dugundji's booklet is brief, glossy, and impeccable. It covers each subject an undergraduate should still understand or even extra. it truly is nonetheless important for me after years of use. It exposes all very important strategies of set topology and offers a brief yet concentrated advent to algebraic topology.

You won't remorse to learn it.

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One of the simplest Topology books i've got learn. although the publication has no figures (as one might count on from a topology book), nearly each aspect is roofed and there usually are not imprecise components within the proofs. for instance, the e-book via Willard can also be stable, yet in a few elements there are extra advanced information left for the reader. I took a simple topology graduate point direction at the first 1/2 2007, which consisted on fixing the issues during this ebook. We have been capable of finding a few difficulties that requested to turn out whatever fake, yet they have been 3 or 4 between the entire difficulties from sections III to VIII. besides, this ebook is a vintage so that you can personal for those who plan to paintings in topology or at the least learn it whereas learning the topic. It's only a disgrace that the e-book is out of print.

This considerably improved moment version of Riemann, Topology, and Physics combines a desirable account of the existence and paintings of Bernhard Riemann with a lucid dialogue of present interplay among topology and physics, the writer, a wonderful mathematical physicist, takes into consideration his personal learn on the Riemann data of Göttingen collage and advancements over the past decade that attach Riemann with a number of major principles and techniques mirrored all through modern arithmetic and physics.

**A Mathematician and His Mathematical Work: Selected Papers of S S Chern**

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**Extra info for Algebraic Topology: A Primer (Texts and Readings in Mathematics)**

**Sample text**

8 : 2 c o n t r a c t i o n s Fig. 9 : 2 c o n t r a c t i o n s Fig. ~, ~ ~ %o Fig. 1i : 6 c o n t r a c t i o n s Fig. eI ,I L s u o [ . ,. Z ~' "~" '%~" ~ " . . 'P2 Lg 52 Fig. 19 : 3 c o n t r a c t i o n s Fig. 20 : 4 c o n t r a c t i o n s Fig. 21 : 4 contractions Fig. 22 : 4 Contractions Fig. 23 : 4 c o n t r a c t i o n s Fig. 5 of Chapter 2. However, by breaking down the contraction cA of J~X into the contractions ca of X where a E A, the map above is actually the contraction induced by F U {c a ] a E A} E Admis X .

__66 Proposition (1) The map U : ~ C (X,X) ~ R ( JgX, ~ X ) is continuous. (2) If J is topological, [J F is continuous for all F E J~C (X,X), hence we have a continuous map [J : J~ C ( X,X ) ~ C ( ~ X , ~ X ) . Y~C ( J f X, ~ X )). 3 (putting Z = ~ X and a¢ = J,Y (which is topological as J i s ) ) . o In particular (2) applies if • = Bd X (giving the bounded-uniform topologies on C ( X , X ) and C (J~X, J~X )), or if J" = subCp X (giving the compact-uniform topologies) and X is locally compact (so that J is topological).

2) K FU a = A F o K F= A F = the smallest closed expansion of A closed under all elements of F . Proof: (1) F and G are compact hence so is F U G . And fEE\/O Grf =fEF \/rf . So F U G is admissible. And VB E ~ X , (F U G)B = FB U GB = FB U A . 5 of Chapter 2 (LJ FnA) UKF = (J F n A E ~ X , n A F U K F = A F E~'X. e. n A F is closed under all elements of F (since A F is and the elements of F are continuous) and is hence clearly the smallest closed expansion of A closed under all / e F. __44Proposition For F E Admis X, K F is the smallest nonempty closed set which is closed under all elements of F .