Geodesic
Absolute $n$-fold hyperspace suspensions
Sergio Macías1 ; Sam B. Nadler, Jr.2
1 Instituto de Matemáticas U.N.A.M. Circuito Exterior, Ciudad Universitaria México D.F., C.P. 04510, México
2 Department of Mathematics West Virginia University P.O. Box 6310 Morgantown, WV 26506-6310, U.S.A.
Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 221-231.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The notion of an absolute $n$-fold hyperspace suspension is introduced. It is proved that these hyperspaces are unicoherent Peano continua and are dimensionally homogeneous. It is shown that the $2$-sphere is the only finite-dimensional absolute $1$-fold hyperspace suspension. Furthermore, it is shown that there are only two possible finite-dimensional absolute $n$-fold hyperspace suspensions for each $n\geq 3$ and none when $n=2$. Finally, it is shown that infinite-dimensional absolute $n$-fold hyperspace suspensions must be unicoherent Hilbert cube manifolds.
DOI : 10.4064/cm105-2-5
Keywords: notion absolute n fold hyperspace suspension introduced proved these hyperspaces unicoherent peano continua dimensionally homogeneous shown sphere only finite dimensional absolute fold hyperspace suspension furthermore shown there only possible finite dimensional absolute n fold hyperspace suspensions each geq none finally shown infinite dimensional absolute n fold hyperspace suspensions unicoherent hilbert cube manifolds

Sergio Macías 1 ; Sam B. Nadler, Jr. 2

1 Instituto de Matemáticas U.N.A.M. Circuito Exterior, Ciudad Universitaria México D.F., C.P. 04510, México
2 Department of Mathematics West Virginia University P.O. Box 6310 Morgantown, WV 26506-6310, U.S.A. 
@article{10_4064_cm105_2_5,
     author = {Sergio Mac{\'\i}as and Sam B. Nadler, Jr.},
     title = {Absolute $n$-fold hyperspace suspensions},
     journal = {Colloquium Mathematicum},
     pages = {221--231},
     publisher = {mathdoc},
     volume = {105},
     number = {2},
     year = {2006},
     doi = {10.4064/cm105-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm105-2-5/}
}
TY  - JOUR
AU  - Sergio Macías
AU  - Sam B. Nadler, Jr.
TI  - Absolute $n$-fold hyperspace suspensions
JO  - Colloquium Mathematicum
PY  - 2006
SP  - 221
EP  - 231
VL  - 105
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm105-2-5/
DO  - 10.4064/cm105-2-5
LA  - en
ID  - 10_4064_cm105_2_5
ER  - 
%0 Journal Article
%A Sergio Macías
%A Sam B. Nadler, Jr.
%T Absolute $n$-fold hyperspace suspensions
%J Colloquium Mathematicum
%D 2006
%P 221-231
%V 105
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm105-2-5/
%R 10.4064/cm105-2-5
%G en
%F 10_4064_cm105_2_5
Sergio Macías; Sam B. Nadler, Jr. Absolute $n$-fold hyperspace suspensions. Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 221-231. doi : 10.4064/cm105-2-5. http://geodesic.mathdoc.fr/articles/10.4064/cm105-2-5/

Cité par Sources :