Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Relative subanalytic sheaves

100%

Monteiro Fernandes T., Prelli L.

Fundamenta Mathematicae

2014

tom 226

nr 1

79-99

Given a real analytic manifold Y, denote by $Y_{sa}$ the associated subanalytic site. Now consider a product Y = X × S. We construct the endofunctor $ℱ ↦ ℱ^{S}$ on the category of sheaves on $Y_{sa}$ and study its properties. Roughly speaking, $ℱ^{S}$ is a sheaf on $X_{sa} × S$. As an application, one can now define sheaves of functions on Y which are tempered or Whitney in the relative sense, that is, only with respect to X.

On definably proper maps

81%

Edmundo M., Mamino M., Prelli L.

Fundamenta Mathematicae

2016

tom 233

nr 1

1-36

In this paper we work in o-minimal structures with definable Skolem functions, and show that: (i) a Hausdorff definably compact definable space is definably normal; (ii) a continuous definable map between Hausdorff locally definably compact definable spaces is definably proper if and only if it is a proper morphism in the category of definable spaces. We give several other characterizations of definably proper, including one involving the existence of limits of definable types. We also prove the basic properties of definably proper maps and the invariance of definably proper (and definably compact) in elementary extensions and o-minimal expansions.

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Prelli L.

1 Edmundo M.

1 Mamino M.

1 Monteiro Fernandes T.

1 2016

1 2014

Wyniki wyszukiwania

Relative subanalytic sheaves

On definably proper maps