Holomorphic surjectivity near the boundary: topological and algebraic genericity

In this short note, we will study the existence of a vector space of continuous functions $$f:{\mathbb {Z}}_p\rightarrow \mathbb Q_p$$ f : Z p → Q p , where $${\mathbb {Z}}_p$$ Z p and $${\mathbb {Q}}_p$$ Q p are, respectively, the ring of p-adic integers and the field of p-adic numbers, such that each nonzero function does not satisfy the Luzin (N) property and the dimension of the vector space is the continuum.

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The Set of p-Adic Continuous Functions not Satisfying the Luzin (N) Property

Sánchez

Maghsoudi

Rodríguez-Vidanes

et al. 2023

Results Math

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Quasilineability and topological properties of the set of fuzzy numbers

Sánchez

Úbeda-Flores

2023

Fuzzy Sets and Systems

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Holomorphic surjectivity near the boundary: topological and algebraic genericity

Cited by 2 publications

References 50 publications

The Set of p-Adic Continuous Functions not Satisfying the Luzin (N) Property

The Set of p-Adic Continuous Functions not Satisfying the Luzin (N) Property

Quasilineability and topological properties of the set of fuzzy numbers

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