ALGEBRABILITY, NON-LINEAR PROPERTIES, AND SPECIAL FUNCTIONS

作者：Bartoszewicz Artur^*; Glab Szymon; Pellegrino Daniel; Seoane Sepulveda Juan B

来源：Proceedings of the American Mathematical Society, 2013, 141(10): 3391-3402.

• Lineability
• spaceability
• algebrability
• perfectly everywhere surjective functions
• Sierpinski-Zygmund functions

We construct uncountably generated algebras inside the following sets of special functions: (i) Sierpinski-Zygmund functions, (ii) perfectly everywhere surjective functions, (iii) nowhere continuous Darboux functions. All conclusions obtained in this paper are improvements of some already known results.

• 出版日期2013-10