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Topic: An error with category theory
Replies: 1   Last Post: Sep 7, 2013 4:20 PM

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Victor Porton

Posts: 529
Registered: 8/1/05
An error with category theory
Posted: Sep 7, 2013 4:08 PM
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I have proved the following theorem:

The category of continuous maps between endo-funcoids (a new kind of objects
described in my book) has all products.

It is proved in my draft article:

http://www.mathematics21.org/binaries/product.pdf

But http://nlab.mathforge.org/nlab/show/complete+small+category says that

If (in some universe U) a small category D has products of families of
objects whose size is at least that of its set of morphisms, then D is a
preorder.

But my category clearly isn't a preorder.

Where is my error?



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