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Some theorems on decomposable continua

Authors :
Imamura, Hayato
Matsuhashi, Eiichi
Oshima, Yoshiyuki
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

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2307.06058
Document Type :
Working Paper