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Elements of Algebraic Topology
Abstract
Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for comunicating complex topics and the fun nature of algebraic topology for beginners.
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Citations
Cited by
Topological Persistence and Simplification
Edelsbrunner, Letscher, & Zomorodian (2002) · Discrete & Computational Geometry · doi:10.1007/s00454-002-2885-2 · Cited by 1,779
Zomorodian, A., & Carlsson, G. (2005) · Discrete & Computational Geometry · doi:10.1007/s00454-004-1146-y · Cited by 1,591
Stability of Persistence Diagrams
Cohen-Steiner, D., Edelsbrunner, H., & Harer, J. (2007) · Discrete & Computational Geometry · doi:10.1007/s00454-006-1276-5 · Cited by 1,280
Finding the homology of submanifolds with high confidence from random samples
Niyogi, P., Smale, S., & Weinberger, S. (2008) · Discrete & Computational Geometry · doi:10.1007/s00454-008-9053-2 · Cited by 523
What are higher-order networks?
Bick, C., Gross, E., Harrington, H. A., & Schaub, M. T. (2023) · SIAM Review · doi:10.1137/21m1414024 · Cited by 420
Metadata
- Authors
- Munkres, J. R.
- Venue
- CRC Press eBooks
- Publisher
- CRC Press
- Published
- 2018-03-05
- OpenAlex
- W1496383623
- Cited by
- 2,102
- References
- 0
- FWCI
- 24.06
- Type
- book
- Language
- en
- Open access
- closed
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- Munkres, J. R. (2018). Elements of Algebraic Topology. CRC Press eBooks. https://doi.org/10.1201/9780429493911
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
