Geodesic
An example in the theory of approximate systems
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 575-581

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An approximate inverse sequence of plane continua is constructed which negatively answers a question of S. Marde\v si'c related to approximate and usual inverse systems. The example also shows that an important result of M.G. Charalambous cannot be improved. As an application, it is shown that a procedure of making an approximate inverse sequence commutative (``taming'') is discontinuous.
An approximate inverse sequence of plane continua is constructed which negatively answers a question of S. Marde\v si'c related to approximate and usual inverse systems. The example also shows that an important result of M.G. Charalambous cannot be improved. As an application, it is shown that a procedure of making an approximate inverse sequence commutative (``taming'') is discontinuous.
Classification : 54B25, 54B35
Keywords: inverse systems; (gauged) approximate systems; inverse limits; (gauged) approximate resolutions; compact metric spaces 
Uglešić, N. An example in the theory of approximate systems. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 575-581. http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a19/
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     title = {An example in the theory of approximate systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     year = {1993},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a19/}
}
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