A clan with zero without the fixed point property

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A Clan with Zero without the Fixed Point Property

References 1. C. E. Capel, Inverse limit spaces, Duke Math. J. vol. 21 (1954) pp. 233-246. 2. H. Hahn, Mengentheoretische Charakterisierung der stetigen Kurve, Sitzungsber. Akad. Wiss., Wien, vol. 123 (1914) pp. 2433-2489. 3. J. L. Kelley, General topology, New York, van Nostrand Co., 1955. 4. S. Mazurkiewicz, Sur les lignes de Jordan, Fund. Math. vol. 1 (1920) pp. 166209. 5. R. L. Wilder, Topo...

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For a neutral functional differential equation with a stable operator, D, it is shown that the solution operator is the sum of a contraction and a completely continuous operator.

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A retract characterization of posets with the fixed-point property

It has been an open problem to characterize posets P with the property that every order-preserving map on P has a fixed point. We give a characterization of such posets in terms of their retracts.

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The Complexity of the Fixed Point Property

It is NP-complete to determine whether a given ordered set has a fixed point free orderpreserving self-map. On the way to this result, we establish the NP-completeness of a related problem: Given ordered sets P and Q with t-tuples (PI,. ,pt) and (41,. . , qt) from P and Q respectively, is there an order-preserving map f: P + Q satisfying f(pz) > qr for each i = l,...,t? Mathematics Subject Clas...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1960

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1960-0117300-x