in Geometry and Logic p. 86). In topos theory, for a Lawvere–Tierney topology and its sheaves, there is an analogous result (ibid. p. 227). Other gluing axioms The gluing axiom of sheaf theory is rather general. One can note that the Mayer–Vietoris axiom of homotopy theory, for example, is a special case. See also Gluing schemes Notes References General topology Limits (category theory) Homological algebra Mathematical axioms Differential topology