Best Books of the Month Shop Costumes Learn more nav_sap_SWP_6M_fly_beacon Joe Bonamassa All-New Fire TV Stick with Voice Remote Subscribe & Save Introducing Handmade New Kitchen Scale from AmazonBasics Amazon Gift Card Offer hog hog hog  Amazon Echo Starting at $49.99 Kindle Voyage  McCartney Shop Now Retro Toys Deal

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.

  • Apple
  • Android
  • Windows Phone
  • Android

To get the free app, enter your email address or mobile phone number.

Geometric Topology in Dimensions 2 and 3 (Graduate Texts in Mathematics 47) 1st Edition

2 customer reviews
ISBN-13: 978-0387902203
ISBN-10: 0387902201
Why is ISBN important?
This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The 13-digit and 10-digit formats both work.
Scan an ISBN with your phone
Use the Amazon App to scan ISBNs and compare prices.
Sell yours for a Gift Card
We'll buy it for $3.50
Learn More
Trade in now
Have one to sell? Sell on Amazon
More Buying Choices
8 Used from $99.00
Free Two-Day Shipping for College Students with Amazon Student Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student

Save Up to 90% on Textbooks Textbooks


Best Books of the Month
Best Books of the Month
Want to know our Editors' picks for the best books of the month? Browse Best Books of the Month, featuring our favorite new books in more than a dozen categories.

Product Details

  • Hardcover: 262 pages
  • Publisher: Springer; 1st edition (April 19, 1977)
  • Language: English
  • ISBN-10: 0387902201
  • ISBN-13: 978-0387902203
  • Product Dimensions: 9.4 x 6.5 x 1 inches
  • Shipping Weight: 1.2 pounds
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #4,575,020 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

5 star
4 star
3 star
2 star
1 star
See both customer reviews
Share your thoughts with other customers

Most Helpful Customer Reviews

15 of 17 people found the following review helpful By Malcolm on April 16, 2008
Format: Hardcover
Moise's "Geometric Topology in Dimensions 2 and 3" was somewhat of an anachronism even when it was first published in 1977, containing no result from after 1960, and with much of it dating from decades earlier. This introductory text in low-dimensional PL topology is both inadequate as a PL topology book (the standard references are Rourke and Sanderson or Hudson for this now-disused subject) and hopelessly outdated as a 3-manifold topology book. But it does have one major saving grace: It contains just about the only modern and complete coverage of classical theorems such as the Hauptvermutung and triangularization theorem of Rado that are frequently cited but not proved.

The main topics in 2-dimensions are the Jordan Curve Theorem, the Schoenflies Theorem, Rado's triangularization theorem for 2-manifolds (i.e., topological 2-manifolds are PL), the Hauptvermutung (i.e., any 2 triangularizations are PL equivalent), and the well-known classification of compact 2-manifolds. There are also chapters on PL approximations of homeomorphisms, tame imbeddings, and homeomorphisms of Cantor sets. In 3 dimensions the highlights are the PL Schoenflies Theorem (the originally conjectured topological version is false), the Loop Theorem and the Dehn Lemma, PL approximations, triangularization of 3-manifolds, and the Hauptvermutung, the latter 2 being the culmination of the last 100 pages of the book. There's also an entertaining account of Antoine's wild sphere imbedding and Stallings's counterexample for a simpler version of the Loop Theorem.
Read more ›
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
Format: Hardcover Verified Purchase
Geometric topology deals with questions of the existence of homeomorphisms to paraphrase the author. The author is credited with the first proof of the existence of triangulations for 3-manifolds(3-manifold triangulation theorem). A topological space(subspace or possibly manifold) has a triangulation if a homeomorphism can be found which maps it onto a polyhedral or simplicial complex(possibly infinite). Though the proofs are detailed this is still I'd say a graduate level text. Just from this brief description you're already dealing with general topology and the topology of polyhedra or complexes, i.e., homology of complexes or simplicial homology. The author cites the Seifert/Thelfall text for much of this material but this is hard to find and/or pricey. Adequate coverage of general topology and the fundamental group(including the Seifert-Van Kampen theorem) can be found in Munkres'Topology (2nd Edition). Simplicial homology is covered in the first few chapters of Munkres'Elements Of Algebraic Topology. In fact Theorem 26.6 in chapter 3 of the Munkres topology text is frequently used in establishing the existence of a homeomorphism. This same theorem can be found in Rudin's Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) as Theorem 4.17 in chapter 4 though homeomorphism is not mentioned. Hopefully since you're reading this review, these books are already in your library.Read more ›
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again