Geodesic
Restrictive Semigroups of Closed Functions
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1215-1229

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

It is assumed that all topological spaces discussed in this paper are T1 spaces. A function ƒ mapping a topological space X into itself is a closed function if ƒ[H] is closed for each closed subset H of S. The semigroup, under composition, of all closed functions mapping X into X is denoted by Γ(X). These were among the semigroups under consideration in (4). 
JR., Kenneth D. Magill. Restrictive Semigroups of Closed Functions. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1215-1229. doi: 10.4153/CJM-1968-117-x
@article{10_4153_CJM_1968_117_x,
     author = {JR., Kenneth D. Magill},
     title = {Restrictive {Semigroups} of {Closed} {Functions}},
     journal = {Canadian journal of mathematics},
     pages = {1215--1229},
     year = {1968},
     volume = {20},
     number = {1},
     doi = {10.4153/CJM-1968-117-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-117-x/}
}
TY  - JOUR
AU  - JR., Kenneth D. Magill
TI  - Restrictive Semigroups of Closed Functions
JO  - Canadian journal of mathematics
PY  - 1968
SP  - 1215
EP  - 1229
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-117-x/
DO  - 10.4153/CJM-1968-117-x
ID  - 10_4153_CJM_1968_117_x
ER  - 
%0 Journal Article
%A JR., Kenneth D. Magill
%T Restrictive Semigroups of Closed Functions
%J Canadian journal of mathematics
%D 1968
%P 1215-1229
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-117-x/
%R 10.4153/CJM-1968-117-x
%F 10_4153_CJM_1968_117_x

[1] 1. Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Math. Surveys, Number 7 (Amer. Math. Soc, Providence, R.I., 1961). Google Scholar

[2] 2. Gillman, L. and Jerison, M., Rings of continuous functions (Van Nostrand, New York, 1960).10.1007/978-1-4615-7819-2 Google Scholar | DOI

[3] 3. Ljapin, E. S., , Translations of Mathematical Monographs, Vol. 3 (Amer. Math. Soc, Providence, R.I., 1963). Google Scholar

[4] 4. Magill, K. D., Jr., Semigroups of functions on topological spaces, Proc. London Math. Soc. 3) 16 (1966), 507–518. Google Scholar

[5] 5. Magill, K. D., Jr., Subsemigroups of S(X), Math. Japon. 11 (1966), 109–115. Google Scholar

[6] 6. Vitanza, M. L., Mappings of semigroups associated with ordered pairs, Amer. Math. Monthly 73 (1966), 1078–1082. Google Scholar

Cité par Sources :