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Algebraic Topology by Allen Hatcher Created 2026-10-13 Updated 2026-11-05
By Allen Hatcher.
Publisher: Cambridge University Press.
Online text: math.uchicago.edu/~farb/algtop2023/Hatcher.pdf
The inspected PDF carries copyright 2002; the publisher front matter separately records first publication in 2001 and a fourteenth printing in 2015.
Cited passages: Algebraic Topology, §2.2, p. 146, definition of Euler characteristic and Theorem 2.44; Algebraic Topology, §2.2, p. 146, homotopy-type independence immediately before Theorem 2.44.
Additional cited passages: §2.2, Example 2.42, p. 144; Euler characteristic and Theorem 2.44, pp. 146–147. These are chapter locators in Algebraic Topology by Allen Hatcher.
Allen Hatcher Created 2026-10-13 Updated 2026-11-05
Allen Hatcher authored a text in algebraic topology. Algebraic invariants such as the fundamental group and homology make global features of spaces accessible to calculation while respecting continuous deformation.[ref]
Algebraic Topology by Allen Hatcher. author attribution and the described mathematical development
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Portrait of Allen Hatcher
. George M. Bergman; existing headshot crop of the Berkeley photograph, circa 1980. CC BY-SA 4.0, via Wikimedia Commons. Source..jpg){kind=link}
The Serre Spectral Sequence by Allen Hatcher 2026-11-05
By Allen Hatcher. Author-hosted Chapter1 draft of the spectral-sequence notes: pi.math.cornell.edu/~hatcher/SSAT/SSch1.pdf
Theorem1.3 gives the homology sequence and fundamental-group action; Theorem1.14, printed page24, gives cohomology, differential bidegrees and convergence to successive filtration quotients.