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    Sub-atomic product of funcoids is a categorical product
Conjecture   In the category of continuous funcoids (defined similarly to the category of topological spaces) the following is a direct categorical product:
-  \item Product morphism is defined similarly to the category of topological spaces. \item Product object is the sub-atomic product. \item Projections are sub-atomic projections. 
 
See details, exact definitions, and attempted proofs here.
See Algebraic General Topology for definitions of used concepts.
Bibliography
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 CSI of Charles University