On extending homeomorphisms on zero-dimensional spaces
نویسندگان
چکیده
منابع مشابه
Expansive Homeomorphisms with the Shadowing Property on Zero Dimensional Spaces
Let X = {a}∪ {ai | i ∈ N} be a subspace of Euclidean space E such that limi→∞ ai = a and ai 6= aj for i 6= j. Then it is well known that the space X has no expansive homeomorphisms with the shadowing property. In this paper we show that the set of all expansive homeomorphisms with the shadowing property on the space Y is dense in the space H(Y ) of all homeomorphisms on Y , where Y = {a, b} ∪ {...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1970
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-67-1-39-48