Geodesic
On Order Paracompact Spaces
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 400-405

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

In (2), Fitzpatrick and Ford defined a class of spaces which they called order totally paracompact. This class of spaces is significant since the order totally paracompact metric spaces constitute the largest known class of spaces for which the small and large inductive dimensions coincide. In this paper we shall consider a class of spaces containing the class of order totally paracompact spaces; we shall call these spaces order paracompact. We shall establish the relationship of this class to the more familiar classes of spaces and obtain an invariance theorem for order paracompact spaces analogous to theorems obtained for various other classes.In what follows, no separation axioms are assumed unless specifically mentioned. Thus, for example, a Lindelöf space is not taken to be Hausdorff without making the further assumption. Therefore, a Lindelöf space is not necessarily paracompact. 
McCandless, Byron H. On Order Paracompact Spaces. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 400-405. doi: 10.4153/CJM-1969-042-4
@article{10_4153_CJM_1969_042_4,
     author = {McCandless, Byron H.},
     title = {On {Order} {Paracompact} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {400--405},
     year = {1969},
     volume = {21},
     number = {1},
     doi = {10.4153/CJM-1969-042-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1969-042-4/}
}
TY  - JOUR
AU  - McCandless, Byron H.
TI  - On Order Paracompact Spaces
JO  - Canadian journal of mathematics
PY  - 1969
SP  - 400
EP  - 405
VL  - 21
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1969-042-4/
DO  - 10.4153/CJM-1969-042-4
ID  - 10_4153_CJM_1969_042_4
ER  - 
%0 Journal Article
%A McCandless, Byron H.
%T On Order Paracompact Spaces
%J Canadian journal of mathematics
%D 1969
%P 400-405
%V 21
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1969-042-4/
%R 10.4153/CJM-1969-042-4
%F 10_4153_CJM_1969_042_4

[1] 1. Dugundji, J., Topology (Allyn and Bacon, Boston, Massachusetts, 1966). Google Scholar

[2] 2. Ben, Fitzpatrick and Ford, R. M., Jr., On the equivalence of small and large inductive dimension in certain metric spaces, Duke Math. J. 34 (1967), 33–38. Google Scholar

[3] 3. Gustin, W., Countable connected spaces, Bull. Amer. Math. Soc. 52 (1946), 101–106. Google Scholar

[4] 4. Sorgenfrey, R., On the topological product of paracompact spaces, Bull. Amer. Math. Soc. 53 (1947), 631–633. Google Scholar

Cité par Sources :