Tychonoff’s theorem gives confidence that our definitions of compactness and product topology are the correct (i.e., most useful) ones.

(Tychonoff’s theorem says the product of any collection of compact topological spaces is compact.)

SOURCE: The Encyclopedia Wikimedia

true = useful!

Love seeing pragmatism amidst the supposedly aetherial pursuit of mathematical truth.


About isomorphismes

Argonaut: someone engaged in a dangerous but potentially rewarding adventure.
Quote | This entry was posted in Uncategorized and tagged , , , , , , , , , , , , , , . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s