Foundations of Algebraic Topology¶
Eilenberg, S., & Steenrod, N. (1952). Foundations of Algebraic Topology. Princeton University Press.
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Primes¶
- Topology
- algebraic topology was developed by Eilenberg, Steenrod, Mac Lane, Serre, Whitehead, and many others through the 1940s-1960s, with the Eilenberg-Steenrod (1952) axioms providing a foundational characterisation of homology theories;
This sourceProvides the axiomatic characterisation of homology theories (the Eilenberg-Steenrod axioms — homotopy, exactness, excision, dimension, additivity) that founded modern algebraic topology and supported the systematic comparison of singular, simplicial, and Čech homology.
- algebraic topology was developed by Eilenberg, Steenrod, Mac Lane, Serre, Whitehead, and many others through the 1940s-1960s, with the Eilenberg-Steenrod (1952) axioms providing a foundational characterisation of homology theories;
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