A CIRCLE IS NOT THE GENERALIZED INVERSE LIMIT OF A SUBSET OF [0,1](2)

作者：Illanes Alejandro^*

来源：Proceedings of the American Mathematical Society, 2011, 139(8): 2987-2993.

DOI：10.1090/S0002-9939-2011-10876-1

• Inverse limits
• Hilbert cube
• simple closed curve
• unit square
• upper semi-continuous
• set valued functions

In this paper we show that the simple closed curve cannot be obtained as the inverse limit of an upper semi-continuous multivalued function from [0, 1] into [0,1].

• 出版日期2011-8