Geodesic
Rigid Continua With Many Embeddings
Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 557-559

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DOI

A separable metric space X is called rigid if the identity 1X is the only autohomeomorphism, and homogeneous if, for any points x, y of X, there is an (onto) homeomorphism h: X → X such that h(x) = y.In this note, we show that this onto-ness of the homeomorphism h could not be removed in the definition of homogeneity, by constructing a continuum X which is rigid and has many embeddings, that is, for any two points x, y, there is an embedding (= into homeomorphism) h: X→X such that h(x) = y.
DOI : 10.4153/CMB-1992-072-0
Mots-clés : 54F20, 54G15 
Terasawa, Jun. Rigid Continua With Many Embeddings. Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 557-559. doi: 10.4153/CMB-1992-072-0
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     title = {Rigid {Continua} {With} {Many} {Embeddings}},
     journal = {Canadian mathematical bulletin},
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     year = {1992},
     volume = {35},
     number = {4},
     doi = {10.4153/CMB-1992-072-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-072-0/}
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