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Lineability and spaceability of sets of functions on  |
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| Authors: | Richard Aron V I Gurariy J B Seoane |
| Institution: | Department of Mathematics, Kent State University, Kent, Ohio 44242 ; Department of Mathematics, Kent State University, Kent, Ohio 44242 ; Department of Mathematics, Kent State University, Kent, Ohio 44242 |
| Abstract: | We show that there is an infinite-dimensional vector space of differentiable functions on  every non-zero element of which is nowhere monotone. We also show that there is a vector space of dimension  of functions  every non-zero element of which is everywhere surjective. |
| Keywords: | |
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