FUNCTIONAL ANALYTIC ISSUES IN Z2n-GEOMETRY

被引：12

作者：

Bruce, Andrew James ^{[1
]}

Poncin, Norbert ^{[1
]}

机构：

[1] Univ Luxembourg, Math Res Unit, L-4364 Esch Sur Alzette, Luxembourg

来源：

REVISTA DE LA UNION MATEMATICA ARGENTINA | 2019年 / 60卷 / 02期

关键词：

Z(2)(n)-geometry; Nuclear Frechet sheaves; Sheaves of differential operators; ALGEBRA; FIELDS;

D O I：

10.33044/revuma.v60n2a21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the function sheaf of a Z(2)(n)-manifold is a nuclear Frechet sheaf of Z(2)(n)-graded Z(2)(n)-commutative associative unital algebras. Further, we prove that the components of the pullback sheaf morphism of a Z(2)(n-)morphism are all continuous. These results are essential for the existence of categorical products in the category of Z(2)(n)-manifolds. All proofs are self-contained and explicit.

引用

页码：611 / 636

页数：26

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