Sentence examples for be any open subset from inspiring English sources

Let be any open subset of which is diffeomorphic to and let be any diffeomorphism onto.

We study general spectral multiplier theorems for self-adjoint positive definite operators on L2 X,μ), where X is any open subset of a space of homogeneous type.

Then we define a degree function (d colon M tomathbb{Z}) as follows: d(F, G, h) :=d_{B}(F|_{overline{G}_{0}},G_{0},h), where (G_{0}) is any open subset of G with (F^{-1}(h) subset G_{0}) and F is bounded on ({overline{G}_{0}}), according to Corollary 2.8.

Let U be an open subset of g.

Let Γ ⊆ ∂ M be an open subset.

Let be an open subset of,, and.

Let be an open subset of.

Let D be an open subset of B ( ∂ M ) ¯.

Let Ω be an open subset of R n.

Let X 0 be an open subset of R n.

Let (Omega ) be an open subset of (mathbb {R}^n).