Mathematical Systems Theory and Economics I / II 1969
DOI: 10.1007/978-3-642-46196-5_19
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Stability of Sets with Respect to Abstract Processes

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1979
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1979
1979

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“…Let p, p', p" e Ps(P, 7) be such that p <> p', p' <> p\ Then 5.14. (ii) yields p n p' < p', p' n p" < p', hence p n p' n p" < p' according to 5 guarantees that the assumptions of Lemma 5.11 are fulfilled. Applying this lemma, one obtains p n p' n p" < P n p' < p , pnp'np ff <p'np"< pV which means that p <> p".…”
Section: Lemma Let P P' E Ps(p 7)mentioning
confidence: 86%
“…Let p, p', p" e Ps(P, 7) be such that p <> p', p' <> p\ Then 5.14. (ii) yields p n p' < p', p' n p" < p', hence p n p' n p" < p' according to 5 guarantees that the assumptions of Lemma 5.11 are fulfilled. Applying this lemma, one obtains p n p' n p" < P n p' < p , pnp'np ff <p'np"< pV which means that p <> p".…”
Section: Lemma Let P P' E Ps(p 7)mentioning
confidence: 86%