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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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Introduction to Topology: Third Edition  Introduction to Topology: Third Edition
Author: Bert Mendelson

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New (23) Used (19) from $3.00

Rating: 5.0 out of 5 stars 11 reviews
Sales Rank: 15997
Category: Book
ASIN: 0486663523
Publication Date: July 1, 1990
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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: 155953
Category: Book
ASIN: 048668735X
Publication Date: September 22, 1995
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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 8 reviews
Sales Rank: 204736
Category: Book
ASIN: 0070379882
Publication Date: June 1, 1968
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Topology (2nd Edition)  Topology (2nd Edition)
Author: James Munkres

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Rating: 4.0 out of 5 stars 29 reviews
Sales Rank: 75445
Category: Book
ASIN: 0131816292
Publication Date: January 7, 2000
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Algebraic Topology  Algebraic Topology
Author: Allen Hatcher

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Rating: 4.0 out of 5 stars 17 reviews
Sales Rank: 72712
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 7 reviews
Sales Rank: 73085
Category: Book
ASIN: 0486406806
Publication Date: February 16, 1999
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Topology and Geometry (Graduate Texts in Mathematics)  Topology and Geometry (Graduate Texts in Mathematics)
Author: Glen E. Bredon

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Rating: 4.0 out of 5 stars 7 reviews
Sales Rank: 145494
Category: Book
ASIN: 0387979263
Publication Date: June 24, 1993
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Heidegger's Topology: Being, Place, World  Heidegger's Topology: Being, Place, World
Author: Jeff Malpas

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Rating: 5.0 out of 5 stars 2 reviews
Sales Rank: 411996
Category: Book
ASIN: 026263368X
Publication Date: October 31, 2008
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Euler's Gem: The Polyhedron Formula and the Birth of Topology  Euler's Gem: The Polyhedron Formula and the Birth of Topology
Author: David S. Richeson

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Rating: 5.0 out of 5 stars 10 reviews
Sales Rank: 51113
Category: Book
ASIN: 0691126771
Publication Date: September 8, 2008
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General Topology  General Topology
Author: Stephen Willard

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Rating: 4.5 out of 5 stars 9 reviews
Sales Rank: 88155
Category: Book
ASIN: 0486434796
Publication Date: February 27, 2004
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