Large algebraic structures inside the set of surjective functions

作者：Gamez Merino Jose L^*

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2011, 18(2): 297-300.

• Lineability
• spaceability
• Jones functions

In this note we study large linear structures inside the set of Jones functions, which is a highly pathological class of surjective functions. We show that there exists an infinite dimensional linear space inside this set of functions. Moreover, we show that this linear space is isomorphic to R(R), that is, it has the biggest possible dimension. The result presented in this note is an improvement of several recent results in the topic of lineability.

• 出版日期2011-7