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A good undergraduate course in topology will prepare a student for further work in a broad variety of mathematical disciplines and will usually start by introducing the axiomatic foundations of set theory. This can be followed by a study of general topological structures and then the following topics: Cartesian products, connectedness, weak topologies, and the separation and covering axioms. In any topology course metric spaces with emphasis on convergence and compactness is crucial. After function spaces and complete spaces round out the general topics covered, there are many avenues for further development in topology.

 

Books: topology

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Topology (2nd Edition)  Topology (2nd Edition)
Author: James Munkres

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New (24) Used (23) from $94.50

Rating: 4.5 out of 5 stars 31 reviews
Sales Rank: 10946
Category: Book
ASIN: 0131816292
Publication Date: January 7, 2000
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Introduction to Topology: Third Edition  Introduction to Topology: Third Edition
Author: Bert Mendelson

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Rating: 5.0 out of 5 stars 12 reviews
Sales Rank: 15376
Category: Book
ASIN: 0486663523
Publication Date: July 1, 1990
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Algebraic Topology  Algebraic Topology
Author: Allen Hatcher

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Rating: 3.5 out of 5 stars 19 reviews
Sales Rank: 53256
Category: Book
ASIN: 0521795400
Publication Date: November 15, 2001
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Introduction to Topology: Second Edition  Introduction to Topology: Second Edition
Authors: Theodore W. Gamelin, Robert Everist Greene

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Rating: 4.5 out of 5 stars 8 reviews
Sales Rank: 51227
Category: Book
ASIN: 0486406806
Publication Date: February 16, 1999
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Counterexamples in Topology  Counterexamples in Topology
Authors: Lynn Arthur Steen, J. Arthur Seebach Jr.

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Rating: 4.0 out of 5 stars 10 reviews
Sales Rank: 152794
Category: Book
ASIN: 048668735X
Publication Date: September 22, 1995
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Basic Topology  Basic Topology
Author: M. A. Armstrong

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Rating: 2.5 out of 5 stars 11 reviews
Sales Rank: 180062
Category: Book
ASIN: 1441928197
Publication Date: February 19, 2010
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Schaum's Outline of General Topology  Schaum's Outline of General Topology
Author: Seymour Lipschutz

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Rating: 4.5 out of 5 stars 9 reviews
Sales Rank: 183699
Category: Book
ASIN: 0070379882
Publication Date: June 1, 1968
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Introduction to Topology: Pure and Applied  Introduction to Topology: Pure and Applied
Authors: Colin Adams, Robert Franzosa

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Rating: 4.5 out of 5 stars 4 reviews
Sales Rank: 305503
Category: Book
ASIN: 0131848690
Publication Date: June 28, 2007
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Topology and Geometry  Topology and Geometry
Author: Glen E. Bredon

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Rating: 4.0 out of 5 stars 7 reviews
Sales Rank: 502155
Category: Book
ASIN: 1441931031
Publication Date: December 28, 2009
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Real Variables with Basic Metric Space Topology  Real Variables with Basic Metric Space Topology
Author: Robert B. Ash

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ASIN: 0486472205
Publication Date: May 21, 2009
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algebraic topology  allen hatcher  book  counterexamples  general topology  geometry  good book  math topology and metric spaces  mathematics  point set topology  schaum  topology  
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