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Topology (Undergraduate Texts in Mathematics) by Jänich, Klaus HC "CLEAN"
US $34.99
ApproximatelyRM 147.84
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A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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Item specifics
- Condition
- Book Title
- Topology (Undergraduate Texts in Mathematics)
- Subject
- Mathematics
- ISBN
- 9780387908922
About this product
Product Identifiers
Publisher
Springer New York
ISBN-10
0387908927
ISBN-13
9780387908922
eBay Product ID (ePID)
154478
Product Key Features
Number of Pages
IX, 193 Pages
Publication Name
Topology
Language
English
Subject
Topology
Publication Year
1984
Type
Textbook
Subject Area
Mathematics
Series
Undergraduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
17 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
96-206939
Dewey Edition
21
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
514
Table Of Content
§1. What is point-set topology about'.- §2. Origin and beginnings.- I Fundamental Concepts.- §1. The concept of a topological space.- §2. Metric spaces.- §3. Subspaces, disjoint unions and products.- §4. Bases and subbases.- §5. Continuous maps.- §6. Connectedness.- §7. The Hausdorff separation axiom.- §8. Compactness.- II Topological Vector Spaces.- §1. The notion of a topological vector space.- §2. Finite-dimensional vector spaces.- §3. Hilbert spaces.- §4. Banach spaces.- §5. Fréchet spaces.- §6. Locally convex topological vector spaces.- §7. A couple of examples.- III The Quotient Topology.- §1. The notion of a quotient space.- §2. Quotients and maps.- §3. Properties of quotient spaces.- §4. Examples: Homogeneous spaces.- §5. Examples: Orbit spaces.- §6. Examples: Collapsing a subspace to a point.- §7. Examples: Gluing topological spaces together.- IV Completion of Metric Spaces.- §1. The completion of a metric space.- §2. Completion of a map.- §3. Completion of normed spaces.- V Homotopy.- §1. Homotopic maps.- §2. Homotopy equivalence.- §3. Examples.- §4. Categories.- §5. Functors.- §6. What is algebraic topology'.- §7. Homotopy--what for'.- VI The Two Countability Axioms.- §1. First and second countability axioms.- §2. Infinite products.- §3. The role of the countability axioms.- VII CW-Complexes.- §1. Simplicial complexes.- §2. Cell decompositions.- §3. The notion of a CW-complex.- §4. Subcomplexes.- §5. Cell attaching.- §6. Why CW-complexes are more flexible.- §7. Yes, but... '.- VIII Construction of Continuous Functions on Topological Spaces.- §1. The Urysohn lemma.- §2. The proof of the Urysohn lemma.- §3. The Tietze extension lemma.- §4. Partitions of unity and vector bundle sections.- §5. Paracompactness.- IX Covering Spaces.- §1. Topological spaces over X.- §2. The concept of a covering space.- §3. Path lifting.- §4. Introduction to the classification of covering spaces.- §5. Fundamental group and lifting behavior.- §6. The classification of covering spaces.- §7. Covering transformations and universal cover.- §8. The role of covering spaces in mathematics.- X The Theorem of Tychonoff.- §1. An unlikely theorem'.- §2. What is it good for'.- §3. The proof.- Last Chapter Set Theory (by Theodor Bröcker).- References.- Table of Symbols.
Synopsis
Contents: Introduction. - Fundamental Concepts. -Topological Vector Spaces.- The Quotient Topology. -Completion of Metric Spaces. - Homotopy. - The TwoCountability Axioms. - CW-Complexes. - Construction ofContinuous Functions on Topological Spaces. - CoveringSpaces. - The Theorem of Tychonoff. - Set Theory (by T.Br cker). - References. - Table of Symbols. -Index., Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces. - The Theorem of Tychonoff. - Set Theory (by T. Br-cker). - References. - Table of Symbols. -Index., Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces. - The Theorem of Tychonoff. - Set Theory (by T. Brcker). - References. - Table of Symbols. -Index.
LC Classification Number
QA612-612.8
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