Talk:Geometric space
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Splitting from Euclidean n-space
[edit]Is the present topic sufficiently notable to deserve its own article? It used to live buried in Euclidean_n-space#Other_geometric_spaces. fgnievinski (talk) 06:51, 11 March 2023 (UTC)
- Oppose. The only definition of a geometric space is to be a space in which one can do geometry. So, geometric space must be a redirect to geometry. I’ll revert the split, which could be restored only if there is a consensus for that. D.Lazard (talk) 15:22, 11 March 2023 (UTC)
- Support: The topic is clearly articulated in Euclidean_n-space#Other_geometric_spaces. It can be sourced in several books.[1][2][3][4][5][6][7] fgnievinski (talk) 03:16, 12 March 2023 (UTC)
- both: the material in Euclidean_n-space#Other geometric spaces should be moved into Geometry, not into a separate article. However, perhaps it would be appropriate to have a Euclidean n space#Relation to other geometries covering the relations among affine, Euclidean and projective geometries. --Shmuel (Seymour J.) Metz Username:Chatul (talk) 14:10, 12 March 2023 (UTC)
- Support alternative proposal by Chatul. Geometry could definitely use some of this material, and if this page discusses other geometric spaces, it should be in relation to its main topic of Euclidean space. Felix QW (talk) 19:51, 18 November 2023 (UTC)
- Comment: This seems largely redundant with Space (mathematics). I don't think we benefit from making a new article out of it. –jacobolus (t) 01:58, 2 January 2024 (UTC)
References
- ^ De Risi, V. (2015). Mathematizing Space: The Objects of Geometry from Antiquity to the Early Modern Age. Trends in the History of Science. Springer International Publishing. p. 107. ISBN 978-3-319-12102-4. Retrieved 2023-03-12.
- ^ Concoyle, M. (2014). Partitioning a Many-Dimensional Containment Space. Trafford Publishing. p. 518. ISBN 978-1-4907-2368-6. Retrieved 2023-03-12.
- ^ Roux, B.L.; Bienaise, S.; Durand, J.L. (2019). Combinatorial Inference in Geometric Data Analysis. Chapman & Hall/CRC Computer Science & Data Analysis. CRC Press. p. 219. ISBN 978-1-351-65133-2. Retrieved 2023-03-12.
- ^ Li, H. (2008). Invariant Algebras and Geometric Reasoning. World Scientific Publishing Company Pte Limited. p. 2. ISBN 978-981-277-011-0. Retrieved 2023-03-12.
- ^ Shenitzer, A.; Rosenfeld, B.A.; Grant, H. (2012). A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space. Studies in the History of Mathematics and Physical Sciences. Springer New York. ISBN 978-1-4612-6449-1. Retrieved 2023-03-12.
- ^ Ostwald, M.J.; Dawes, M.J. (2018). The Mathematics of the Modernist Villa: Architectural Analysis Using Space Syntax and Isovists. Mathematics and the Built Environment. Springer International Publishing. p. 41. ISBN 978-3-319-71647-3. Retrieved 2023-03-12.
- ^ Biagioli, F. (2016). Space, Number, and Geometry from Helmholtz to Cassirer. Archimedes. Springer International Publishing. p. 43. ISBN 978-3-319-31779-3. Retrieved 2023-03-12.