# A matter of terms

1. Dec 31, 2006

### yetar

If I have a cyclic space, [0, 1] where 0 is equal to 1.
Can I also call it a cyclic dimension?
What are the terms of describing this cyclic interval/space etc?

Thank you.

2. Dec 31, 2006

### yetar

Oops, perhaps it should be called cyclic field.
But can I also call it cyclic space or cyclic dimension?

3. Dec 31, 2006

### matt grime

You're talking about R/Z. The reals modulo the integers. It can be identified with the unit circle in the complex plane by $t \to \exp(2\pi t)$.

If you call it a cyclic space, or dimension, I imagine you'd be alone in doing so. It is not a field, since it doesn't have a multiplicative identity.

Last edited: Dec 31, 2006