unreduced suspension Is the definition $SX=\frac{(X\times [a,b])}{(X\times\{a\}\cup X\times \{b\})}$  of the unreduced suspension the standard defininition? If I consider $X=$ point, the suspension of $X$ is a circle. But I saw an other definition of the unreduced suspension such that the suspension of a point should be an interval. Regards.

One should have a picture and here is one, taken from the e-version of Topology and Groupoids showing the suspension $SX$ as a union of two cones:

Note the special case when $X$ is a circle $S^1$ when this gives the $2$-sphere $S^2$ as the union of two hemispheres. 
