Geodesic
Essential Extensions of T1-Spaces
Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 237-240

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

In the category of T1 -spaces and continuous maps, every space X has a unique maximal essential extension. X has an injective hull iff card X≤1. 
Hoffmann, Rudolf-E. Essential Extensions of T1-Spaces. Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 237-240. doi: 10.4153/CMB-1981-037-1
@article{10_4153_CMB_1981_037_1,
     author = {Hoffmann, Rudolf-E.},
     title = {Essential {Extensions} of {T1-Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {237--240},
     year = {1981},
     volume = {24},
     number = {2},
     doi = {10.4153/CMB-1981-037-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-037-1/}
}
TY  - JOUR
AU  - Hoffmann, Rudolf-E.
TI  - Essential Extensions of T1-Spaces
JO  - Canadian mathematical bulletin
PY  - 1981
SP  - 237
EP  - 240
VL  - 24
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-037-1/
DO  - 10.4153/CMB-1981-037-1
ID  - 10_4153_CMB_1981_037_1
ER  - 
%0 Journal Article
%A Hoffmann, Rudolf-E.
%T Essential Extensions of T1-Spaces
%J Canadian mathematical bulletin
%D 1981
%P 237-240
%V 24
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-037-1/
%R 10.4153/CMB-1981-037-1
%F 10_4153_CMB_1981_037_1

[1] 1. Banaschewski, B., Essential extensions of T0-spaces. General Topology Appl.. 7 (1977), 233-246. Google Scholar

[2] 2. Banaschewski, B., Projective covers in categories of topological spaces and topological algebras. Proc. Kanpur Topology Conference, 1968. Academia, Prague, 1971. Google Scholar

[3] 3. Banaschewski, B., Injectivity and essential extensions in equational classes of algebras. Proc. Conference on Universal Algebra, Kingston 1969. Queen's University, Kingston, Ontario, 1970. Google Scholar

[4] 4. Borsuk, K., Theory of retracts. PWN (Polish Scientific Publishers), Warszawa, 1967. Google Scholar

[5] 5. Hoffmann, R.-E., Irreducible filters and sober spaces. Manuscripta Math.. 22 (1977), 365-380. Google Scholar

[6] 6. Hoffmann, R.-E., Essentially complete T0-spaces. Manuscripta Math.. 27 (1979) 401-432. Google Scholar

[7] 7. Thron, W. J., Lattice-equivalence of topological spaces. Duke Math. J.. 29 (1962), 671-679. Google Scholar

Cité par Sources :