Examples
- The smash product of any pointed space X with a 0-sphere is homeomorphic to X.
- The smash product of two circles is a quotient of the torus homeomorphic to the 2-sphere.
- More generally, the smash product of two spheres Sm and Sn is homeomorphic to the sphere Sm+n.
- The smash product of a space X with a circle is homeomorphic to the reduced suspension of X:
- The k-fold iterated reduced suspension of X is homeomorphic to the smash product of X and a k-sphere
- In domain theory, taking the product of two domains (so that the product is strict on its arguments).
Read more about this topic: Smash Product
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