Describing a Cyclic Space: 0 = 1

[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.

 

[yetar]

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

 

[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.