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In this article left invariant measures and functionals on locally compactnonassociative fan loops are investigated. For this purpose necessaryproperties of topological fan loops, estimates and approximations of functionson them are studied. An existence of nontrivial left invariant measures onlocally compact fan loops is proved. Abundant families of fan loops areprovided with the help of different types of their products.

Left invariant measures on locally compact fan loops