Ordered Set Theory

Special features
Ordered Set Theory

Author : Jean-Charles PINOLI

Review date: May 7, 2021 | Lire en français

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3. Special features

3.1 Indistinguishable and incomparable elements

Definition (indistinguishable elements). Let $(E, ≼)$ be a pre-ordered space. Two distinct elements x and y are indiscernible when : $x ≼ y ≼ x$ , or in other words if :

x ≼ y ≼ x

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Bibliography

(1) - ALLAM (A.A), BAKEIR (M.Y.), ABO-TABL (E.A.) - Some methods for generating topologies by relations, - Bulletin of the Malaysian Mathematical Sciences Society, (2), Vol. 31, No.1, pp. 35-45 (2008).
(2) - BALBES (R.), DWINGER (P.) -...

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Special features Ordered Set Theory

3. Special features

3.1 Indistinguishable and incomparable elements

Bibliography

Special features
Ordered Set Theory