✦ LIBER ✦

On symmetric products of continua

✍ Scribed by Sergio Macías

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 612 KB
Volume: 92
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00233-2

No coin nor oath required. For personal study only.

✦ Synopsis

We show that the nth symmetric product of a continuum is unicoherent if n Z 3. We prove that the arc is the only finite dimensional continuum for which its second symmetric product is homeomorphic to its hyperspace of subcontinua, and that for any finite dimensional continuum X its hyperspace of subcontinua is not homeomorphic to its nth symmetric product for any 71 > 3.

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