He had risked all his fortune on one cast of the die, and, gamblerlike, had lost everything.

If Y is a closed orientable graph manifold, we show that Y admits a coorientable taut foliation if and only if Y is not an L-space.

You can now understand the challenge: If you mapped a square-pixeled image into a rectangular-pixeled image, it would appear to be horizontally stretched-out.

This is not an unjust or oversevere commentary; let any reasonable reader inspect the publications of the vers-libre poets, the exhibitions of cubist sculpture and futurist painting, the productions of the disciples of the new art of the theater and decide that point for himself.