Abstract
Possibilities of application of Euclidean spaces with noninteger dimension in space-time theories are studied. Two cases are described: the extension of the Salam-Strathdee scheme for the description of Yang-Mills interaction models based on compact internal coset group manifoldsG/H with noninteger dimensions, on the one hand, and a sort of models which could be considered as an alternative to the Kaluza-Klein approach but which do not require assumptions either on compactness or on finiteness of internal manifolds, on the other. The second type of models is close in spirit to the Kaluza-Klein ones and uses spaces with scale-dependent dimensions.
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