ℵ1-directed inverse systems of continuous images of arcs
The main purpose of this paper is to prove that if X={Xa,pab,A} is a usual ℵ1-directed inverse system of continuous images of arcs with monotone bonding mappings, then X=limX is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120000363X |
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| _version_ | 1832550013527392256 |
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| author | Ivan Lončar |
| author_facet | Ivan Lončar |
| author_sort | Ivan Lončar |
| collection | DOAJ |
| description | The main purpose of this paper is to prove that if X={Xa,pab,A} is a usual ℵ1-directed inverse system
of continuous images of arcs with monotone bonding mappings, then
X=limX is a continuous image of an arc
(Theorem 2.4). Some applications of this statement are also
given. |
| format | Article |
| id | doaj-art-881cbc9618f744a4accaadf20dca94cb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-881cbc9618f744a4accaadf20dca94cb2025-02-03T06:08:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124210911910.1155/S016117120000363Xℵ1-directed inverse systems of continuous images of arcsIvan Lončar0Faculty of Organization and Informatics, Pavlinska 2, Varaždin, CroatiaThe main purpose of this paper is to prove that if X={Xa,pab,A} is a usual ℵ1-directed inverse system of continuous images of arcs with monotone bonding mappings, then X=limX is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.http://dx.doi.org/10.1155/S016117120000363X |
| spellingShingle | Ivan Lončar ℵ1-directed inverse systems of continuous images of arcs International Journal of Mathematics and Mathematical Sciences |
| title | ℵ1-directed inverse systems of continuous images of arcs |
| title_full | ℵ1-directed inverse systems of continuous images of arcs |
| title_fullStr | ℵ1-directed inverse systems of continuous images of arcs |
| title_full_unstemmed | ℵ1-directed inverse systems of continuous images of arcs |
| title_short | ℵ1-directed inverse systems of continuous images of arcs |
| title_sort | ℵ1 directed inverse systems of continuous images of arcs |
| url | http://dx.doi.org/10.1155/S016117120000363X |
| work_keys_str_mv | AT ivanloncar א1directedinversesystemsofcontinuousimagesofarcs |