Wednesday, September 21, 2011

Intersection

The question is this: Show by example that the intersection of infinitely many open sets need not be open.

"The intersection of a finite number of open sets is always open," Georg explains, "but this is kind of an interesting problem. We have infinity under our fingers, isn't that kind of neat? We get to use an example that goes on forever."

Georg stares at the chalkboard for a little bit, and then he puts down his chalk and wipes his fingers on his sweater. At the table, Richard looks up from his phone. "No ideas?"

Georg shakes his head. "You?"

Richard puts down his phone and regards the board for a minute. They do their problem set on Wednesday nights in the small study room on the third floor of the library. It's the Western facing corner, and they always get there right after dinner - just in time for the sunset. It's kind of a centering experience.

Richard: "I've been thinking about signing up for the swim class."

Georg: "You don't know how to swim?"

Richard: "No, I do, but what if I just showed up and pretended I didn't know how to and then acted like I was the fastest learner ever? The swim girls teach that class to raise money for the team."

Georg looks back at the board. "Yeah, I guess."

13 comments:

Steve Finnell said...

you are invited to follow my blog

Anonymous said...

we both read it and then did some disecting.

Web Designer said...

we both read it and then did some disecting. like it
web designing SEO

Phan said...

Nice.

Anonymous said...

h n y

George B. said...

Nice looking blog, great stuff. Ever wonder about getting your own domain? Check out my blog movie site, Watch movies online

Cheap Flights said...

Whether it is the theme based casinos or the enthralling shopping mall or the lavish dinning experience strike the perfect balance of Natural and man made beauty amazing the minds of tourist by booking flights with Flights to Las Vegas| Crystal Travels to enjoy an ever entertaining vacation escape.
Cheap Flights to New York | Cheap Flights Tickets.

Online Shopping said...

Hi,
I am really admire the information which you shared here in your blog which is really good read to me.

Thanks
Best Digital Cameras

E-Learning Software India said...

Nice Post!
I am really glad to found your post in which you offered interesting information. It is really good read to me.

Thanks for sharing information!
Best E-Learning Software

Vehicle Tracking System said...

Hi,
I have read your blog and I appreciate the information which you shared here. I update my knowledge after read your post.

Thanks for sharing!
GPS Micro Tracker

GPS Navigation Device said...

Hi,
I am really admire the information which you shared here in your blog which is really good read to me.

Thanks
Waterproof IP Camera

DavidAndrewWarner said...

Hello

I am really admire the information in this blog.so it is really good read to me.

Cairns Coach Transfers

requirebuyer said...

Baby Brands Direct only stocks the best brands,D&G glasses the best products at the best prices and offers an easy to use website for independents and department stores to preview and buy stock online for next day delivery with Abercrombie and Fitchminimum carriage paid orders at just £200 in the UK.