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Absolute n-fold hyperspace suspensions

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Macías S., Nadler S.

Colloquium Mathematicum

2006

tom 105

nr 2

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

Ograniczanie wyników

1 Colloquium Mathematicum

1 Macías S.

1 Nadler S.

1 2006

Wyniki wyszukiwania

Absolute n-fold hyperspace suspensions