Topology2nd EditionJames Munkres Publisher: Prentice HallISBN: 9780131816299
Topology
Solutions for Topology
Problem 2.1E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.2E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.3E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.4E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.5E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.6E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.7E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.8E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.9E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.10E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.12E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.13E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.14E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.15E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.16E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 2.17E:
Determine which of the following statements are true for all sets A, B, C and D. If a double...Problem 3.1E:
Write the contrapositive and converse of the following statement: If x0, then x2x0, and determine...Problem 3.2E:
Do the same for the statement If x0, then x2x0.Problem 4.1E:
Let A and B be sets of real numbers. Write the negation of each of the following statements: For...Problem 4.2E:
Let A and B be sets of real numbers. Write the negation of each of the following statements: For at...Problem 4.3E:
Let A and B be sets of real numbers. Write the negation of each of the following statements: For...Problem 4.4E:
Let A and B be sets of real numbers. Write the negation of each of the following statements: For at...Problem 5E:
Let A be a nonempty collection of sets. Determine the truth of each of the following statements and...Problem 6.1E:
Write the contrapositive of each of the statements of Exercise 5. Let be a nonempty collection of...Problem 6.2E:
Write the contrapositive of each of the statements of Exercise 5. Let be a nonempty collection of...Problem 6.3E:
Write the contrapositive of each of the statements of Exercise 5. Let be a nonempty collection of...Problem 6.4E:
Write the contrapositive of each of the statements of Exercise 5. Let be a nonempty collection of...Problem 10.1E:
Let denote the set of real numbers. For each of the following subsets of , determine whether it is...Problem 10.2E:
Let denote the set of real numbers. For each of the following subsets of , determine whether it is...Problem 10.3E:
Let denote the set of real numbers. For each of the following subsets of , determine whether it is...Browse All Chapters of This Textbook
Chapter 1.1 - Fundamental ConceptsChapter 1.2 - FunctionsChapter 1.3 - RelationsChapter 1.4 - The Integers And The Real NumbersChapter 1.5 - Cartesian ProductsChapter 1.6 - Finite SetsChapter 1.7 - Countable And Uncountable SetsChapter 1.8 - The Principle Of Recursive DefinitionChapter 1.9 - Infinite Sets And The Axiom Of ChoiceChapter 1.10 - Well-ordered Sets
Chapter 2.13 - Basis For A TopologyChapter 2.16 - The Subspace TopologyChapter 2.17 - Closed Sets And Limit PointsChapter 2.18 - Continuous FunctionsChapter 2.19 - The Product TopologyChapter 3.24 - Connected Subspaces Of The Real LineChapter 3.28 - Limit Point CompactnessChapter 3.29 - Local CompactnessChapter 3.SE - Supplementary Exercises: NetsChapter 4.30 - The Countability AxiomsChapter 4.31 - The Separation AxiomsChapter 4.32 - Normal SpacesChapter 4.33 - The Urysohn LemmaChapter 4.34 - The Urysohn Metrization TheoremChapter 4.35 - The Tietze Extension TheoremChapter 4.36 - Imbeddings Of ManifoldsChapter 4.SE - Supplementary Exercises: Review Of The Basics
Book Details
I. GENERAL TOPOLOGY.
1. Set Theory and Logic.
2. Topological Spaces and Continuous Functions.
3. Connectedness and Compactness.
4. Countability and Separation Axioms.
5. The Tychonoff Theorem.
6. Metrization Theorems and Paracompactness.
7. Complete Metric Spaces and Function Spaces.
8. Baire Spaces and Dimension Theory.
II. ALGEBRAIC TOPOLOGY.
9. The Fundamental Group.
10. Separation Theorems in the Plane.
11. The Seifert-van Kampen Theorem.
12. Classification of Surfaces.
13. Classification of Covering Spaces.
14. Applications to Group Theory.
Index.
Sample Solutions for this Textbook
We offer sample solutions for Topology homework problems. See examples below:
More Editions of This Book
Corresponding editions of this textbook are also available below:
Topology
2nd Edition
ISBN: 9780134689517
Topology: Pearson New International Edition
2nd Edition
ISBN: 9781292023625
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