@inproceedings{eca8bd9e627e4e55ac2913738ca84a7c,

title = "The central role of diagrams in algebraic topology",

abstract = "The great achievement of Cantor and Dedekind in the 19th c. was not the arithmetization of the geometrical line, but rather the use of the notion of set to extend the number system to the reals and the transfinite numbers, and to recast the line as a set of points and numbers systems as sets of numbers: this prepares the ground for the emergence of topology and then algebraic topology in the 20th c. and the novel diagrams that accompany its presentation in the textbook written by Singer and Thorpe.",

author = "Grosholz, {Emily R.}",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG, part of Springer Nature 2018.; 10th International Conference on the Theory and Application of Diagrams, Diagrams 2018 ; Conference date: 18-06-2018 Through 22-06-2018",

year = "2018",

language = "English (US)",

isbn = "9783319913759",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "814--816",

editor = "Gem Stapleton and Francesco Bellucci and Amirouche Moktefi and Peter Chapman and Sarah Perez-Kriz",

booktitle = "Diagrammatic Representation and Inference - 10th International Conference, Diagrams 2018, Proceedings",

address = "Germany",

}