Embeddability of multiple cones |
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| Authors: | D. Repov&scaron ,W. Rosicki |
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| Affiliation: | a Institute of Mathematics, Physics and Mechanics, University of Ljubljana, PO Box 2964, Ljubljana 1001, Slovenia
b Institute of Mathematics, Gdańsk University, Ul. Wita Stwosza 57, 80-952 Gdańsk, Poland |
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| Abstract: | The main result of this paper is that if X is a Peano continuum such that its nth cone Cn(X) embeds into Rn+2 then X embeds into S2. This solves a problem proposed by W. Rosicki. |
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| Keywords: | primary, 57Q35 secondary, 54C25, 55S15, 57N35 |
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