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Some theorems on decomposable continua
- Publication Year :
- 2023
-
Abstract
- 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.<br />Comment: 15 pages, 8 figures
- Subjects :
- Mathematics - General Topology
Primary 54F15, Secondary 54F16, 54F17
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2307.06058
- Document Type :
- Working Paper