Inverse limit spaces defined by only finitely many distinct bonding maps
R. Jolly, James Rogers (1970)
Fundamenta Mathematicae
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R. Jolly, James Rogers (1970)
Fundamenta Mathematicae
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W. Dębski (1985)
Colloquium Mathematicae
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Chris Good, Brian E. Raines (2006)
Fundamenta Mathematicae
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We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical ω-limit set has cardinality of the continuum. The set of folding points (i.e. points at which the space is not homeomorphic to the product of a zero-dimensional set and an arc) of each of these spaces is also a Cantor set.
Dorothy S. Marsh (1980)
Colloquium Mathematicae
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R. Duda (1971)
Colloquium Mathematicae
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Michel Smith (1977)
Fundamenta Mathematicae
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Eiichi Matsuhashi (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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We characterize Peano continua using Bing-Krasinkiewicz-Lelek maps. Also we deal with some topics on Whitney preserving maps.
Włodzimierz J. Charatonik (1982)
Commentationes Mathematicae Universitatis Carolinae
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Lee Mohler, Lex Oversteegen (1984)
Fundamenta Mathematicae
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Jerzy Krzempek (2010)
Colloquium Mathematicae
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Fedorchuk's fully closed (continuous) maps and resolutions are applied in constructions of non-metrizable higher-dimensional analogues of Anderson, Choquet, and Cook's rigid continua. Certain theorems on dimension-lowering maps are proved for inductive dimensions and fully closed maps from spaces that need not be hereditarily normal, and some of the examples of continua we construct have non-coinciding dimensions.
J. Rogers (1977)
Fundamenta Mathematicae
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Tadashi Watanabe (1986)
Banach Center Publications
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