On principal connection like bundles

Czechoslovak Mathematical Journal

Wodzimierz M. ¹ 

[1] Institute of Mathematics, Jagiellonian University, Lojasiewicza 6, Kraków, Poland

关键词: principal bundle;    principal connection;    gauge bundle functor;    natural transformation;   

DOI  :  

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

Let $\mathcal{P}\mathcal{B}_m$ be the category of all principal fibred bundles with $m$-dimensional bases and their principal bundle homomorphisms covering embeddings. We introduce the concept of the so called $(r,m)$-systems and describe all gauge bundle functors on $\mathcal{P}\mathcal{B}_m$ of order $r$ by means of the $(r,m)$-systems. Next we present several interesting examples of fiber product preserving gauge bundle functors on $\mathcal{P}\mathcal{B}_m$ of order $r$. Finally, we introduce the concept of product preserving $(r,m)$-systems and describe all fiber product preserving gauge bundle functors on $\mathcal{P}\mathcal{B}_m$ of order $r$ by means of the product preserving $(r,m)$-systems.

【 授权许可】

Unknown