## f is homotopic to g

#### by Adam Farley

If you have X and then take I

And cross it with this space

And there's an H that goes to Y

To put your things in place

Then H of x at time t one

Will send you along g

Where you had f at time t naught

And deformed continuously.

## The manifold of Venice

#### (author unknown; supplied by Katherine Brandl)

And lo, i am Hausdorff, compact and simply connected;

My neighborhoods are homeomorphic to Euclidian space;

But i am wont for substance.
Embed me, triangulate me, puncture me; am i not thus deformed?

Circles, circles round me wending, to search the answer i yearn.

But alas, fundamentally i am trivial.