Example in Topology I. Lines, Planes, Curves, and Planar Objects : Natural, digital and rational plans

Natural, digital and rational plans
Example in Topology I. Lines, Planes, Curves, and Planar Objects

Author : Jean-Charles PINOLI

Review date: May 7, 2021 | Lire en français

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7. Natural, digital and rational plans

7.1 The Arens plan (1950) and Fort ...

Title : The Arens plan (1950) and Fort $ℕ_{A-F}^{2}$

The Arens (1950)-Fort plane, denoted $ℕ_{A-F}^{2}$ , is the plane $ℕ \times ℕ$ equipped with the topology whose opens are the subsets O such that (p. 213 of

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Natural, digital and rational plans

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page Ordinal and long straight lines

Real plans

Bibliography

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and Extensions, - North Holland, 331 pages (1993).
(2) - ADAMS (C.), FRANZOSA (R.) - Introduction to Topology Pure and Applied, - Pearson, 507 pages (2008).
(3)...

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Natural, digital and rational plans Example in Topology I. Lines, Planes, Curves, and Planar Objects

7. Natural, digital and rational plans

7.1 The Arens plan (1950) and Fort ...

Bibliography

Natural, digital and rational plans
Example in Topology I. Lines, Planes, Curves, and Planar Objects