Geodesic
A Moore Strongly Rigid Space
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 547-552

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DOI

It is proved that for every Hausdorff space R and for every Hausdorff (regular or Moore) space X, there exists a Hausdorff (regular or Moore, respectively) space S containing X as a closed subspace and having the following properties: la) Every continuous map of S into R is constant. b) For every point x of S and every open neighbourhood U of x there exists an open neighbourhood V of x, V ⊆ U such that every continuous map of V into R is constant. 2) Every continuous map f of S into S (f ≠ identity on S) is constant. In addition it is proved that the Fomin extension of the Moore space S has these properties.
DOI : 10.4153/CMB-1991-086-0
Mots-clés : 54G99, 54C05, 54D10, 54D15, Embedding, Hausdorff, Regular, Moore, Fomin, Strongly rigid spaces 
Tzannes, V. A Moore Strongly Rigid Space. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 547-552. doi: 10.4153/CMB-1991-086-0
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     title = {A {Moore} {Strongly} {Rigid} {Space}},
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     pages = {547--552},
     year = {1991},
     volume = {34},
     number = {4},
     doi = {10.4153/CMB-1991-086-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-086-0/}
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