# I Can there be a bounded space w/o a boundary w/o embedding?

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1. Jul 19, 2016

### Pjpic

Can there be a bounded space without a boundary without embedding in a higher spatial dimension?

This seems to be the kind of question I get stuck on when the big bang comes up.

Thanks

2. Jul 19, 2016

### micromass

Staff Emeritus
Define bounded space, define boundary, define embedding.

3. Jul 19, 2016

### Pjpic

I wouldn't say my definitions are correct but:
bounded = of a finite size --
boundary = having an edge or point different from the rest--
embedding = curving a surface of x spatial dimensions using and area of x+1 spatial dimensions

4. Jul 19, 2016

### micromass

Staff Emeritus
Sorry, but this is much too vague to give a mathematical answer. Perhaps you should ask this in the GR forum.