Geodesic
Comparison of proper shape and proper shape over finite coverings
Filomat, Tome 37 (2023) no. 29, p. 9991

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DOI

The theory of proper shape over finite coverings, defined in [8], uses only finite coverings to compare noncompact spaces. In this paper we investigate the relations between this theory and the proper shape defined by Ball and Sherr in [3]. We show that if two spaces have same proper shape they belong to the same class in theory of proper shape over finite coverings, but the opposite doesn't hold in general.
DOI : 10.2298/FIL2329991S
Classification : 54C56
Keywords: Proper shape, proper shape over finite coverings, noncompact, finite coverings 
Nikita Shekutkovski; Abdulla Buklla. Comparison of proper shape and proper shape over finite coverings. Filomat, Tome 37 (2023) no. 29, p. 9991 . doi: 10.2298/FIL2329991S
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     title = {Comparison of proper shape and proper shape over finite coverings},
     journal = {Filomat},
     pages = {9991 },
     year = {2023},
     volume = {37},
     number = {29},
     doi = {10.2298/FIL2329991S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2329991S/}
}
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