Decomposing Euclidean space with a small number of smooth sets

被引：9

作者：

Steprans, J ^{[1
]}

机构：

[1] York Univ, Dept Math, N York, ON M3J 1P3, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 04期

关键词：

Cardinal invariant; Sacks real; tangent plane; covering number;

D O I：

10.1090/S0002-9947-99-02197-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let the cardinal invariant sn denote the least number of continuously smooth n-dimensional surfaces into which (n + 1)-dimensional Euclidean space can be decomposed. It will be shown to be consistent that sn is greater than s(n+1). These cardinals will be shown to be closely related to the invariants associated with the problem of decomposing continuous functions into differentiable ones.

引用

页码：1461 / 1480

页数：20

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