For the following simplicial triple system K,

T1=max(K)={125,126,134,137,146,157,234,235,247,267 ,356,367,456,457}

decide whether the following properties is true or not. Justify your answer

(a) T1 is the triangulation of a surface

(b) T1 is a regular triangulation

(c) T1 is the triangulation of a sphere

(d) T1 is triangulation that has an orientation

(e) T1 is isomorphic to the simplicial triple complex T2={125,126,134,137,146,157,236,237,245,247,345,35 6,467,567}

Thaaaaaaank you in advance