We study properties of the operation sup, defined for structures corresponding to different subcategories of MER, as merotopies, filter merotopies, contiguities, m-contiguities and closures. In particular, we examine commutativity of sup and the operation according to which a structure induces a structure of another type (as e.g. a merotopy induces a closure) and the inverse operations of the former.
- (w-, m-)looseness
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