Lecture notes in algebraic topology

By James F. Davis, Paul A. Kirk. 2001

349 citations recorded by the source corpus.

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Dai-Freed anomalies in particle physics (2018, background): “In fact, this isomorphism is precisely (see [31]),”
Singular Intersection Homology (2020, methodology): “Our favored sources include topology texts by Hatcher [124], Munkres [178, 177], Dold [71], Spanier [214], Bredon [38], and Davis and Kirk [67]; books on PL topology by Hudson [128] and Rourke and Sanderson [192]; algebra books by Lang [145], Lam [144], and Bourbaki [30]; homological algebra books b”
Diagrams for Relative Trisections (2016, positive): “(6) The monodromy µ is the unique ( up to isotopy ) map such that Here we are using the identiﬁcation e i θ (cid:0) cos (θ) − sin (θ) (cid:1) and the notion of cocycle condition from [Davis and Kirk 2001].”
More Concise Algebraic Topology: Localization, Completion, and Model Categories (2012, background): “We assume only a little more than a first course in algebraic topology, such as can be found in [3, 32, 34, 57, 89].”