论文标题
在具有选择性超滤器的超级数字模型上
On The Model Of Hyperrational Numbers With Selective Ultrafilter
论文作者
论文摘要
在使用超掌位的超级构造的标准构造中,我们假设超滤器是选择性的。它可以为任何有限的超值数字分配实际值。因此,我们可以将具有选择性超滤波器的超值数字视为传统实数的扩展。还证明存在严格的单调或固定式,代表任何超级数字的序列。
In standard construction of hyperrational numbers using an ultrapower we assume that the ultrafilter is selective. It makes possible to assign real value to any finite hyperrational number. So, we can consider hyperrational numbers with selective ultrafilter as extension of traditional real numbers. Also proved the existence of strictly monotonic or stationary representing sequence for any hyperrational number.