Absolute n-fold hyperspace suspensions

• Autorzy: Sergio Macías , Sam B. Nadler, Jr.
• Języki publikacji: EN

Abstrakty

EN

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 ≥ 3 and none when n = 2. Finally, it is shown that infinite-dimensional absolute n-fold hyperspace suspensions must be unicoherent Hilbert cube manifolds.

Kategorie tematyczne

• 54F15: Continua and generalizations
• 54B20: Hyperspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 2
• Strony: 221-231

Daty

wydano

2006

Twórcy

autor

Sergio Macías

• Instituto de Matemáticas, U.N.A.M., Circuito Exterior, Ciudad Universitaria, México D.F., C.P. 04510, México

autor

Sam B. Nadler, Jr.

• Department of Mathematics, West Virginia University, P.O. Box 6310, Morgantown, WV 26506-6310, U.S.A.

Identyfikatory

DOI

10.4064/cm105-2-5