Decomposing Euclidean space with a small number of smooth sets期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Decomposing Euclidean space with a small number of smooth sets

Authors:	Juris Steprans

Institution:	Department of Mathematics, York University, 4700 Keele Street, North York, Ontario, Canada, M3J 1P3

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

Keywords:	Cardinal invariant Sacks real tangent plane covering number

	点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文