Analogy and invention some remarks on Poincaré's analysis situs papers
pp. 1-23
Abstract
The primary role played by analogy in Henri Poincaré's work, and in particular in his "analysis situs" papers, is emphasized. Poincaré's "sixth example" (showing that Betti numbers do not suffice to classify 3-manifolds) and his construction of the homology sphere are discussed in detail.
Publication details
Published in:
Tahiri Hassan (2018) The philosophers and mathematics: Festschrift for Roshdi Rashed. Dordrecht, Springer.
Pages: 1-23
DOI: 10.1007/978-3-319-93733-5_1
Full citation:
Bartocci Claudio (2018) „Analogy and invention some remarks on Poincaré's analysis situs papers“, In: H. Tahiri (ed.), The philosophers and mathematics, Dordrecht, Springer, 1–23.