Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 127-136
Citer cet article
V. I. Malykhin. Scattered spaces not having scattered compactifications. Matematičeskie zametki, Tome 23 (1978) no. 1, pp. 127-136. http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a13/
@article{MZM_1978_23_1_a13,
author = {V. I. Malykhin},
title = {Scattered spaces not having scattered compactifications},
journal = {Matemati\v{c}eskie zametki},
pages = {127--136},
year = {1978},
volume = {23},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a13/}
}
TY - JOUR
AU - V. I. Malykhin
TI - Scattered spaces not having scattered compactifications
JO - Matematičeskie zametki
PY - 1978
SP - 127
EP - 136
VL - 23
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a13/
LA - ru
ID - MZM_1978_23_1_a13
ER -
%0 Journal Article
%A V. I. Malykhin
%T Scattered spaces not having scattered compactifications
%J Matematičeskie zametki
%D 1978
%P 127-136
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_1_a13/
%G ru
%F MZM_1978_23_1_a13
Some examples of scattered spaces not having scattered compactifications are given, which solves a problem of Semadeni. Thus, let $S$ be any extremally disconnected dense-in-itself subspace of $\beta N\setminus N$. Then for every point $\xi\in S$ the $N\cup\{\xi\}$ does not have any scattered compactification.
