Mathematical meanings of the term covering include

• A covering map in topology.
• A vertex covering or edge covering in graph theory.
• The covering lemma in set theory (specifically large cardinal theory).
• The Lebesgue covering dimension, a definition of dimension using topological properties.
• The ε-covering number of a compact set (some info can be found in Box-counting dimension and Sphere packing).

Non-mathematical pages that relate to covering include

• Window covering
• Covering a base