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1. Basic Topology 2 : Topological Groups, Topology of Manifolds and Lie Groups. 1st ed. 2022
by Avishek Adhikari, Mahima Ranjan Adhikari
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-981-16-6577-6
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1. Background on Topology, Analysis and Algebra
2. Topological Groups
3. Topology of Manifolds
4. Lie Groups and Lie Algebra
5. Brief History of Topological Groups, Manifold and Lie Groups
1. Background on Topology, Analysis and Algebra
2. Topological Groups
3. Topology of Manifolds
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電子ブック
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2. Basic Topology 1 : Metric Spaces and General Topology. 1st ed. 2022
by Avishek Adhikari, Mahima Ranjan Adhikari
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-981-16-6509-7
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1. Prerequisites: Sets, Algebraic Systems, and Classical Analysis
2. Metric Spaces and Normed Linear Spaces
3. Topological Spaces and Continuous Maps
4. Separation Axioms
5. Compactness and Connectedness
6. Real-valued Continuous Functions
7. Countability, Separability and Embedding
8. Brief History of General Topology
1. Prerequisites: Sets, Algebraic Systems, and Classical Analysis
2. Metric Spaces and Normed Linear Spaces
3. Topological Spaces and Continuous Maps
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3. Basic Topology 3 : Algebraic Topology and Topology of Fiber Bundles. 1st ed. 2022
by Mahima Ranjan Adhikari
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-981-16-6550-9
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1. Prerequisite Concepts of Topology, Algebra and Category Theory
2. Homotopy Theory: Fundamental and Higher Homotopy Groups
3. Homology and Cohomology Theories: An Axiomatic Approach with Consequences
4. Topology of Fiber Bundles
5. Homotopy Theory of Bundles
6. Some Applications of Algebraic Topology
7. Brief History on Algebraic Topology and Fiber Bundles
1. Prerequisite Concepts of Topology, Algebra and Category Theory
2. Homotopy Theory: Fundamental and Higher Homotopy Groups
3. Homology and Cohomology Theories: An Axiomatic Approach with Consequences