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Topology lattice as quantum logic |
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| Authors: | A. A. Grib R. R. Zapatrin |
| Affiliation: | (1) Department of Mathematics, LFEI !["ldquo"]("/content/l3j7x17712v7v8l2/xlarge8220.gif") N. A. Voznesensky,!["rdquo"]("/content/l3j7x17712v7v8l2/xlarge8221.gif") , 191023 St. Petersburg, Russia |
| Abstract: | We discuss the relations between the lattice of topologies for the simplest case of a three-point set and quantum logic. A hypothetical  topologymeter is considered as a measuring apparatus, and it is shown that it necessarily possesses some quantum features, such as complementarity. |
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