On principal connection like bundles

Mikulski, Włodzimierz M.. "On principal connection like bundles." Czechoslovak Mathematical Journal 64.4 (2014): 961-967. <http://eudml.org/doc/269862>.

@article{Mikulski2014,
abstract = {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.},
author = {Mikulski, Włodzimierz M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {principal bundle; principal connection; gauge bundle functor; natural transformation; principal bundle; principal connection; gauge bundle functor; natural transformation},
language = {eng},
number = {4},
pages = {961-967},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On principal connection like bundles},
url = {http://eudml.org/doc/269862},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - On principal connection like bundles
JO - Czechoslovak Mathematical Journal
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 64
IS - 4
SP - 961
EP - 967
AB - 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.
LA - eng
KW - principal bundle; principal connection; gauge bundle functor; natural transformation; principal bundle; principal connection; gauge bundle functor; natural transformation
UR - http://eudml.org/doc/269862
ER -