A Counterexample in Finite Fixed Point Theory
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This note answers a question raised by Lee Mohler in 1970, by exhibiting a finite topological space X which is the union of closed subspaces Y, Z, such that Y, Z, and Y ⋂ Z, but not X, have the fixed point property. The example is a triangulation △ of S3, the points of X being the simplices of Δ and the closed sets the subcomplexes of △.
1978 ◽
Vol 30
(4)
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pp. 673-699
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2018 ◽
Vol 72
(2)
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pp. 41
2005 ◽
Vol 10
(4)
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pp. 305-314
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2019 ◽
Vol 14
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pp. 311
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2011 ◽
Vol 158
(8)
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pp. 1085-1089
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