Geodesic
Exponential Laws for the Nachbin Ported Topology
Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 138-144

Voir la notice de l'article provenant de la source Cambridge

DOI

We show that for $U$ and $V$ balanced open subsets of $\left( \text{Qno} \right)$ Fréchet spaces $E$ and $F$ that we have the topological identity $$\text{(}\mathcal{H}(U\times V),{{\tau }_{\omega }})=\left( \mathcal{H}\left( U;\left( \mathcal{H}(V),{{\tau }_{\omega }} \right) \right),{{\tau }_{\omega }} \right).$$ Analogous results for the compact open topology have long been established. We also give an example to show that the $\left( \text{Qno} \right)$ hypothesis on both $E$ and $F$ is necessary.
DOI : 10.4153/CMB-2000-021-x
Mots-clés : 46G20, 18D15, 46M05 
Boyd, C. Exponential Laws for the Nachbin Ported Topology. Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 138-144. doi: 10.4153/CMB-2000-021-x
@article{10_4153_CMB_2000_021_x,
     author = {Boyd, C.},
     title = {Exponential {Laws} for the {Nachbin} {Ported} {Topology}},
     journal = {Canadian mathematical bulletin},
     pages = {138--144},
     year = {2000},
     volume = {43},
     number = {2},
     doi = {10.4153/CMB-2000-021-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-021-x/}
}
TY  - JOUR
AU  - Boyd, C.
TI  - Exponential Laws for the Nachbin Ported Topology
JO  - Canadian mathematical bulletin
PY  - 2000
SP  - 138
EP  - 144
VL  - 43
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-021-x/
DO  - 10.4153/CMB-2000-021-x
ID  - 10_4153_CMB_2000_021_x
ER  - 
%0 Journal Article
%A Boyd, C.
%T Exponential Laws for the Nachbin Ported Topology
%J Canadian mathematical bulletin
%D 2000
%P 138-144
%V 43
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-021-x/
%R 10.4153/CMB-2000-021-x
%F 10_4153_CMB_2000_021_x

Cité par Sources :