New proofs of classical insertion theorems
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 139-142
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
We provide new proofs for the classical insertion theorems of Dowker and Michael. The proofs are geometric in nature and highlight the connection with the preservation of normality in products. Both proofs follow directly from the Kat\v{e}tov-Tong insertion theorem and we also discuss a proof of this.
We provide new proofs for the classical insertion theorems of Dowker and Michael. The proofs are geometric in nature and highlight the connection with the preservation of normality in products. Both proofs follow directly from the Kat\v{e}tov-Tong insertion theorem and we also discuss a proof of this.
Classification :
54B10, 54C30, 54D15
Keywords: insertion of continuous functions; normality; countable paracompactness; perfect
Keywords: insertion of continuous functions; normality; countable paracompactness; perfect
@article{CMUC_2000_41_1_a12,
author = {Good, Chris and Stares, Ian},
title = {New proofs of classical insertion theorems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {139--142},
year = {2000},
volume = {41},
number = {1},
mrnumber = {1756934},
zbl = {1038.54007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2000_41_1_a12/}
}
Good, Chris; Stares, Ian. New proofs of classical insertion theorems. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 139-142. http://geodesic.mathdoc.fr/item/CMUC_2000_41_1_a12/