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

[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

 

[micromass]

Define bounded space, define boundary, define embedding.

 

[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

 

[micromass]

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