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A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions |
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| Authors: | Katsuya Eda Umed H Karimov |
| Institution: | a Department of Mathematics, Waseda University, Tokyo 169-8555, Japan b Institute of Mathematics, Academy of Sciences of Tajikistan, Ul. Ainy 299A, Dushanbe 734063, Tajikistan c Institute of Mathematics, Physics and Mechanics, Faculty of Mathematics and Physics, University of Ljubljana, PO Box 2964, Ljubljana 1001, Slovenia |
| Abstract: | We prove the existence of a 2-dimensional nonaspherical simply connected cell-like Peano continuum (the space itself was constructed in one of our earlier papers). We also indicate some relations between this space and the well-known Griffiths' space from the 1950s. |
| Keywords: | primary 54B15 54G15 54F15 secondary 55N10 55Q52 |
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