Mapping hereditarily indecomposable continua onto a pseudo-arc

Author(s):  
David P. Bellamy







2002 ◽  
Vol 126 (1-2) ◽  
pp. 145-152 ◽  
Author(s):  
Mirosława Reńska


1974 ◽  
Vol 84 (3) ◽  
pp. 175-186 ◽  
Author(s):  
J. Krasinkiewicz


1991 ◽  
Vol 34 (3) ◽  
pp. 351-356 ◽  
Author(s):  
W. T. Ingram ◽  
D. D. Sherling

AbstractIn proving the contractibility of certain hyperspaces J. L. Kelley identified and defined a certain uniformnessproperty which he called Property 3.2. It is known that the classes of locally connected continua, homogeneous continua and hereditarily indecomposable continua have Property 3.2. In this paper we prove that two examples of indecomposable continua developed respectively by the authors have Property 3.2. One is the example of a nonchainable atriodic tree-like continuum with positive span which was defined by the first author, and the other is a nonchainable, noncircle-like continuum which has the cone=hyperspace property which was defined by the second author. Each of the examples is an inverse limit of an inverse system having a single bonding map.





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