Ergodic Solenoidal Homology: Realization Theorem

被引：3

作者：

Munoz, Vicente ^{[1
]}

Perez-Marco, Ricardo ^{[2
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, E-28040 Madrid, Spain

[2] Univ Paris 13, LAGA UMR 7539, CNRS, F-93430 Villetaneuse, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 302卷 / 03期

关键词：

CYCLES;

D O I：

10.1007/s00220-010-1183-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We define generalized currents associated with immersions of abstract oriented solenoids with a transversal measure. We realize geometrically the full real homology of a compact manifold with these generalized currents, and more precisely with immersions of minimal uniquely ergodic solenoids. This makes precise and geometric De Rham's realization of the real homology by only using a restricted geometric subclass of currents.

引用

页码：737 / 753

页数：17

共 50 条

[1] Ergodic Solenoidal Homology: Realization Theorem
Vicente Muñoz
Ricardo Pérez-Marco
[J]. Communications in Mathematical Physics, 2011, 302 : 737 - 753
[2] Ergodic Solenoidal Geometry
Munoz, Vicente
Marco, Ricardo Perez
[J]. COSMOLOGY, QUANTUM VACUUM AND ZETA FUNCTIONS: IN HONOR OF EMILIO ELIZALDE, 2011, 137 : 333 - +
[3] AN ERGODIC THEOREM
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[9] ON A RATIO ERGODIC THEOREM
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[10] A GENERAL ERGODIC THEOREM
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