关于极限与余极限交换的注记
Notes on commutation of limits and colimits
摘要：
我们表明，有无穷多个不同的闭类的colimits（在这个意义上的伽罗瓦连接引起的交换的限制和colimits在集）这是中间类的伪过滤colimits和所有（小）colimits。另一方面，如果相应的极限类包含回调或均衡器，则上极限类包含在伪滤波上极限类中。
英文摘要：
We show that there are infinitely many distinct closed classes of colimits (in the sense of the Galois connection induced by commutation of limits and colimits in Set) which are intermediate between the class of pseudo-filtered colimits and that of all (small) colimits. On the other hand, if the corresponding class of limits contains either pullbacks or equalizers, then the class of colimits is contained in that of pseudo-filtered colimits.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
