Re: Review of Mueckenheims book.



On 15 Mrz., 15:24, "William Hughes" <wpihug...@xxxxxxxxxxx> wrote:
On Mar 15, 7:18 am, mueck...@xxxxxxxxxxxxxxxxx wrote:

The question
is "does the EIT contain infinite paths?".

Yes. The "paths" of the EIT are the lines, not the columns.

No.

The elements of the EIT correspond to the nodes of U(T(n)).

No.

A path is composed of nodes, one from each level.

A line of the EIT is composed of bits which are nodes in the picture
of the tree.

A "path" in the EIT consists of one element of the EIT
from each line.

A path of a finite tree does not consist of one element of every level
of the infinite tree.

Since we are not talking about paths in the finite tree
this remark is irrelevant. A "path" in the EIT
consists of one element of the EIT from each line.

That depends how you carry out the projection. Of course you can find
out the Waft Maximum of the set of columns. But that is not very
interesting, because each column has the size aleph_0.

As we are interested in the WM of the set of all finite paths, a good
picture to compare with is the set of all finite lines of the EIT.

Regards, WM

.



Relevant Pages

  • Re: Review of Mueckenheims book.
    ... of the infinite tree. ... A "path" in the EIT ... Then every value relevant to WM's WM is a member of the UFL. ...
    (sci.math)
  • Re: Review of Mueckenheims book.
    ... True but irrelevent. ... The set P_F is the set of all finite paths. ... paths are all nodes of the complete tree. ... EIT so there are no columns in the EIT". ...
    (sci.math)
  • Re: Review of Mueckenheims book.
    ... is "does the EIT contain infinite paths?". ... The elements of the EIT correspond to the nodes of U). ... of the tree. ...
    (sci.math)
  • Re: Cantor Confusion
    ... Virgil schrieb: ... WM's EIT with its edges being the last members of the lines of that EIT. ... Which gives every line being finite but the diagonal being infinite. ... The tree proves that, given aleph_0 exists, aleph_0 is not less than ...
    (sci.math)
  • Re:Mueckenheims Confusion
    ... >> This does not tell us anything about the infinite tree. ... The cross sections ... binary tree, but the cardinality of the set of paths, which is easily ...
    (sci.math)

Loading