Abstract
Dodson-Zeeman fuzzy topology considered as the possible mathematical frame- work of quantum geometric formalism. In such formalism the states of massive particle m correspond to elements of fuzzy manifold called fuzzy points. Due to their weak (partial) ordering, m space coordinate x acquires principal uncertainty σx. It's shown that m evo- lution on such manifold corresponds to quantum dynamics. It's argued also that particle's interactions on such fuzzy manifold should be gauge invariant.
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