On continuously irreducible continua |
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Authors: | Sergio Macías |
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Institution: | Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, México D.F., C.P. 04510, Mexico |
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Abstract: | We study continuously irreducible continua and characterize them as those continua of type λ for which the set function T is continuous. Using results by Mohler and Oversteegen, we present a new family of one-dimensional continua for which the set function T is continuous and no element of the family contains a pseudo-arc. We study the hyperspaces of these continua. |
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Keywords: | 54C60 54B20 |
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