Talk:Borel Conjecture for the 2-torus (Ex)

Suggestion 1:

1. Note that the dimensions must be equal.

2. Use the homotopy classification of surfaces, so both surfaces must be $T^2$$<wikitex>; Suggestion 1: 1. Note that the dimensions must be equal. 2. Use the homotopy classification of surfaces, so both surfaces must be $T^2$. 3. Use the square model for the torus with edges identified, lying in a grid. Assume WLOG that the map preserves orientation (if not, then flip it). Homotope the map to the identity map. </wikitex> Suggestion 2: Do not use Suggestion 1.T^2$.

3. Use the square model for the torus with edges identified, lying in a grid. Assume WLOG that the map preserves orientation (if not, then flip it). Homotope the map to the identity map.

Suggestion 2: Do not use Suggestion 1.