Quotes About Compactness

Infinite riches in a little room

Compactness is a powerful property of spaces, and it is used in many ways in many different areas of mathematics. One is via appeal to local-to-global principles: one establishes local control on a function, or on some other quantity, and then uses compactness to boost the local control to global control.

Good-Looking Men in Small Clever Rooms That Utilize Every Centimeter of Available Space With Mind-Boggling Efficiency.

Houses: we bring together in a small space what in the wild is spread out.

Profound subject matter can be encompassed in small space - for proof, look at any sonnet by Shakespeare!

Small places make for small lives