tag:blogger.com,1999:blog-31155815.post116192365527276504..comments2023-11-05T03:12:40.416-08:00Comments on Mostly Poetry: "Real"ity CheckHeidihttp://www.blogger.com/profile/05687291606249050356noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-31155815.post-39730804454222622212007-12-24T10:06:00.000-08:002007-12-24T10:06:00.000-08:00Yes . . . I just got on to add that it needs t...Yes . . . I just got on to add that it needs to be a FINITE union of open sets in order to be open, but I notice you covered that by saying "n."<BR/><BR/>Yeah, anyone who has not taken Abstract Algebra has no means of imagining anything with "algebra" in its title being SUCH an entirely different world from the algebras taught at the high school level. It seems, by the name, it should be the next step up. The reality is that it is a leap over the Empire State Building to go from one to the other!!Heidihttps://www.blogger.com/profile/05687291606249050356noreply@blogger.comtag:blogger.com,1999:blog-31155815.post-25040593183845440192007-12-23T21:51:00.000-08:002007-12-23T21:51:00.000-08:00I'm with you Heidi - after they finally get good a...I'm with you Heidi - after they finally get good at algebra, then the students might get the joy of taking Abstract Algebra! Now that's funky stuff.<BR/><BR/>Your posting brings back old memories! (Not necessarily fun ones!) But I can rise to your challenge, I believe. Without the statement at the top it's a little unclear. However, I think it's saying that if the intersection of a collection of n open sets is non-empty, then that intersection is an open set.<BR/><BR/><BR/>BrianAnonymousnoreply@blogger.com