author_facet Abu-Saleem, M.
Abu-Saleem, M.
author Abu-Saleem, M.
spellingShingle Abu-Saleem, M.
Tamkang Journal of Mathematics
Folding on the chaotic Cartesian product of manifolds and their fundamental group
Applied Mathematics
General Mathematics
author_sort abu-saleem, m.
spelling Abu-Saleem, M. 2073-9826 0049-2930 Tamkang Journal of Mathematics Applied Mathematics General Mathematics http://dx.doi.org/10.5556/j.tkjm.39.2008.10 <jats:p>In this paper we introduce the chaotic fundamental group of foldings of the chaotic Cartesian product of manifolds into itself. Also the fundamental group of the limit of foldings of the chaotic Cartesian product of manifolds into itself are deduced. The effect of folding on the wedge sum of chaotic manifolds and their chaotic fundamental group will be achieved. Some types of conditional foldings restricted on the elements of a free chaotic group and their chaotic fundamental groups are presented. Theorems governing these relations are obtained.</jats:p> Folding on the chaotic Cartesian product of manifolds and their fundamental group Tamkang Journal of Mathematics
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title Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_unstemmed Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_full Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_fullStr Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_full_unstemmed Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_short Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_sort folding on the chaotic cartesian product of manifolds and their fundamental group
topic Applied Mathematics
General Mathematics
url http://dx.doi.org/10.5556/j.tkjm.39.2008.10
publishDate 2008
physical 353-361
description <jats:p>In this paper we introduce the chaotic fundamental group of foldings of the chaotic Cartesian product of manifolds into itself. Also the fundamental group of the limit of foldings of the chaotic Cartesian product of manifolds into itself are deduced. The effect of folding on the wedge sum of chaotic manifolds and their chaotic fundamental group will be achieved. Some types of conditional foldings restricted on the elements of a free chaotic group and their chaotic fundamental groups are presented. Theorems governing these relations are obtained.</jats:p>
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author Abu-Saleem, M.
author_facet Abu-Saleem, M., Abu-Saleem, M.
author_sort abu-saleem, m.
container_issue 4
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container_title Tamkang Journal of Mathematics
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description <jats:p>In this paper we introduce the chaotic fundamental group of foldings of the chaotic Cartesian product of manifolds into itself. Also the fundamental group of the limit of foldings of the chaotic Cartesian product of manifolds into itself are deduced. The effect of folding on the wedge sum of chaotic manifolds and their chaotic fundamental group will be achieved. Some types of conditional foldings restricted on the elements of a free chaotic group and their chaotic fundamental groups are presented. Theorems governing these relations are obtained.</jats:p>
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spelling Abu-Saleem, M. 2073-9826 0049-2930 Tamkang Journal of Mathematics Applied Mathematics General Mathematics http://dx.doi.org/10.5556/j.tkjm.39.2008.10 <jats:p>In this paper we introduce the chaotic fundamental group of foldings of the chaotic Cartesian product of manifolds into itself. Also the fundamental group of the limit of foldings of the chaotic Cartesian product of manifolds into itself are deduced. The effect of folding on the wedge sum of chaotic manifolds and their chaotic fundamental group will be achieved. Some types of conditional foldings restricted on the elements of a free chaotic group and their chaotic fundamental groups are presented. Theorems governing these relations are obtained.</jats:p> Folding on the chaotic Cartesian product of manifolds and their fundamental group Tamkang Journal of Mathematics
spellingShingle Abu-Saleem, M., Tamkang Journal of Mathematics, Folding on the chaotic Cartesian product of manifolds and their fundamental group, Applied Mathematics, General Mathematics
title Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_full Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_fullStr Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_full_unstemmed Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_short Folding on the chaotic Cartesian product of manifolds and their fundamental group
title_sort folding on the chaotic cartesian product of manifolds and their fundamental group
title_unstemmed Folding on the chaotic Cartesian product of manifolds and their fundamental group
topic Applied Mathematics, General Mathematics
url http://dx.doi.org/10.5556/j.tkjm.39.2008.10