Uncountably Generated Algebras of Everywhere Surjective Functions

被引：28

作者：

Aron, Richard M. ^{[1
]}

Conejero, Jose A. ^{[2
]}

Peris, Alfredo ^{[2
]}

Seoane-Sepulveda, Juan B. ^{[3
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Univ Politecn Valencia, Dept Matemat Aplicada, IUMPA, E-46022 Valencia, Spain

[3] Univ Complutense Madrid, Dept Anal Matemat, Fac Ciencias Matemat, E-28040 Madrid, Spain

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2010年 / 17卷 / 03期

关键词：

Lineability; spaceability; algebrability; everywhere surjective functions; LINEABILITY; SETS; SPACEABILITY; SPACES;

D O I：

10.36045/bbms/1284570738

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there exists an uncountably generated algebra every non-zero element of which is an everywhere surjective function on C, that is, a function f : C -> C such that, for every non void open set U subset of C, f(U) = C.

引用

页码：571 / 575

页数：5

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