No embedding of the automorphisms of a topological space into a compact metric space endows them with a composition that passes to the limit

Frosini, P.; Landi, Claudia

doi:10.1016/j.aml.2011.04.007

The Hausdorff distance, the Gromov–Hausdorff, the Fréchet and the natural pseudo-distance are instances of dissimilarity measures widely used in shape comparison. We show that they share the property of being defined as inf F(ρ) where F is a suitable functional and ρ varies in a set of correspondences containing the set of homeomorphisms. Our main result states that the set of homeomorphisms cannot be enlarged to a metric space K, in such a way that the composition in K (extending the composition of homeomorphisms) passes to the limit and, at the same time, K is compact.

No embedding of the automorphisms of a topological space into a compact metric space endows them with a composition that passes to the limit / P., Frosini; Landi, Claudia. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 24(2011), pp. 1654-1657.

Data di pubblicazione:	2011
Titolo:	No embedding of the automorphisms of a topological space into a compact metric space endows them with a composition that passes to the limit
Autore/i:	P., Frosini; Landi, Claudia
Autore/i UNIMORE:	P. Frosini LANDI, Claudia mostra contributor esterni nascondi contributor esterni
Digital Object Identifier (DOI):	http://dx.doi.org/10.1016/j.aml.2011.04.007
Rivista:	APPLIED MATHEMATICS LETTERS
Volume:	24
Pagina iniziale:	1654
Pagina finale:	1657
Codice identificativo ISI:	WOS:000291912300006
Codice identificativo Scopus:	2-s2.0-79957551108
Citazione:	No embedding of the automorphisms of a topological space into a compact metric space endows them with a composition that passes to the limit / P., Frosini; Landi, Claudia. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 24(2011), pp. 1654-1657.
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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11380/651038

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