A covering relation in a partially ordered set (poset) is a specific type of relationship between elements where one element directly 'covers' another, meaning that there is no other element between them in the order. If an element 'a' covers an element 'b', it indicates that 'a' is greater than 'b', and there is no element 'c' such that 'b < c < a'. This concept is essential for understanding the structure of posets and is visually represented in Hasse diagrams, where covering relations are depicted as lines connecting points without any intermediaries.
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