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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Geology, The Marcellus Shale, Experts, And Dispute Resolution, Itzchak E. Kornfeld
Geology, The Marcellus Shale, Experts, And Dispute Resolution, Itzchak E. Kornfeld
West Virginia Law Review
No abstract provided.
Smooth Peano Functions For Perfect Subsets Of The Real Line, Krzysztof Ciesielski
Smooth Peano Functions For Perfect Subsets Of The Real Line, Krzysztof Ciesielski
Faculty & Staff Scholarship
In this paper we investigate for which closed subsets P of the real line R there exists a continuous map from P onto P 2 and, if such a function exists, how smooth can it be. We show that there exists an infinitely many times differentiable function f : R → R 2 which maps an unbounded perfect set P onto P 2 . At the same time, no continuously differentiable function f : R → R 2 can map a compact perfect set onto its square. Finally, we show that a disconnected compact perfect set P admits a continuous …