| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615657 | Journal of Mathematical Analysis and Applications | 2015 | 9 Pages |
Abstract
We study lineability of real functions with finite preimages. In particular, we prove that the class of n-to-one functions contains a vector subspace of dimension n but not of dimension (n+1). Additionally, we give examples of star-like families of functions (closed under multiplication by a non-zero scalar) for which lineability is less than additivity.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Krzysztof PÅotka,