Some pairs of adjoint functors involving track homotopy categories |
| |
| Authors: | Chen Jixiang |
| |
| Institution: | (1) Department of Mathematics, Nankai University, 300071 Tianjin, China |
| |
| Abstract: | K. A. Hardie and K. H. Kamps investigated the track homotopy categoryH
B
over a fixed spaceB (1]). They have introduced two pairs of adjoint functors:P
B
N
B
andm
*
m
*, whereP
B
:H
B
→H
B
, andm
*:H
A
→H
B
for a fixed mapm:A→B. We have introduced a split fibration of categoriesL:H
b
→H
B
and provedL
J, J
L in 2]. This paper first extendsP
B
N
B
to
for any fixed mapb:
. Moreover we also extend these results to obtain two pairs of adjoint functors involving track homotopy categoriesH
b
andH
b
whereH
b
is the dual ofH
b
. One of our results isN
b
P
b
. This differs fromP
B
N
B
.
Supported by National Natural Science Foundation of China |
| |
| Keywords: | Track homotopy category Fibration of categories Adjoint functor |
| 本文献已被 SpringerLink 等数据库收录！ |
|
