Some theorems on decomposable continua
| Autor: | Imamura, Hayato, Matsuhashi, Eiichi, Oshima, Yoshiyuki |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove some theorems on decomposable continua. In particular, we prove; (i) the property of being a Wilder continuum is not a Whitney reversible property, (ii) inverse limits of D**-continua with surjective monotone upper semi-continuous bonding functions are D**, and (iii) there exists a D**-continuum which contains neither Wilder continua nor D*-continua. Also, we show the existence of a Wilder continuum containing no D*-continua and a D*-continuum containing no Wilder continua. Comment: 15 pages, 8 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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