Re: hyperspace

Hello,

Thanks for your help about this topic. I'm really sorry for what you
said, William. However, I must say that I don't know what is cross
posting and what I did to bother... :-/
This is the first time I use a news group. This time I did what you
said about replying.

Anyway, I'm taking a look at the direct product and the disjoint sum.

I tell you now what this is about:
I want to make a server program that acts as a dynamic space, where
every time some client connects and adds a new element that doesn't fit
in the space, the space reshapes itself in order to be able to contain
the previous elements plus the new one.

Thanks!

..alvaro.castro.




William Elliot ha escrito:

On Wed, 12 Apr 2006 cyrill@xxxxxxxxxxxx wrote:

What you are looking for called a "direct product of spaces". If you
have two spaces: X and Y, then a direct product XxY is a space of
points (x,y), where x is a point of X and y is a point of Y. You can
look in wikipedia for more details:
http://en.wikipedia.org/wiki/Direct_product.

How about disjoint sums, as I discussed in the other newsgroup where OP
placed this question?

G.E. Ivey wrote:
Hello,

Would anyone tell me how is it possible to
mathematically build an
entity that unifies two separate spaces?
For example a hyperspace built with an R³, N and C.
Is it:
R³ * N * C
or
R³ U N U C
?

or is just impossible?


thank you,

.alvaro.castro.


I'm afraid you'll have to explain what YOU mean by "unifies two separate spaces". I don't think the union is what you want since that "loses" both N and C inside R^3 (thinking of C as identified with R^2). I suspect you are thinking of something like a direct sum of vector spaces- with the Cartesian product of the underlying sets as the underlying set.



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