1Instituto de Matemáticas U.N.A.M. Circuito Exterior, Ciudad Universitaria México D.F., C.P. 04510, México 2Department 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
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.
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
Affiliations des auteurs :
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.
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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
