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Focusing on advanced concepts in algebraic topology and fiber bundles, this volume serves as a comprehensive resource for both undergraduate and graduate mathematics students. It explores homotopy theory, homology and cohomology theories, and classic problems like the Jordan curve theorem. The text establishes connections between homotopy and homology theories and presents an axiomatic approach inspired by Eilenberg and Steenrod. With extensive material, it supports both beginners and advanced learners, promoting a deeper understanding of the subject's theory and applications.
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Basic Topology 3, Mahima Ranjan Adhikari
- Idioma
- Publicado en
- 2023
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- Título
- Basic Topology 3
- Subtítulo
- Algebraic Topology and Topology of Fiber Bundles
- Idioma
- Inglés
- Autores
- Mahima Ranjan Adhikari
- Editorial
- Springer Nature Singapore
- Publicado en
- 2023
- Formato
- Tapa dura
- Páginas
- 496
- ISBN13
- 9789811665493
- Serie
- Etiquetas
- No ficción, Ciencia y Matemáticas, Matemáticas
- Descripción
- Focusing on advanced concepts in algebraic topology and fiber bundles, this volume serves as a comprehensive resource for both undergraduate and graduate mathematics students. It explores homotopy theory, homology and cohomology theories, and classic problems like the Jordan curve theorem. The text establishes connections between homotopy and homology theories and presents an axiomatic approach inspired by Eilenberg and Steenrod. With extensive material, it supports both beginners and advanced learners, promoting a deeper understanding of the subject's theory and applications.