The chainable continua are the spaces approximated by finite COTS
We show that the chainable continua (also called snake-like or arc-like)continua, are precisely the Hausdorff reflections of inverse limits of sequences of finite COTS under maps which are continuous and are separating.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2001-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/2147 |
| _version_ | 1819211115239833600 |
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| author | Judy A. Kennedy Ralph D. Kopperman Richard G. Wilson |
| author_facet | Judy A. Kennedy Ralph D. Kopperman Richard G. Wilson |
| author_sort | Judy A. Kennedy |
| collection | DOAJ |
| description | We show that the chainable continua (also called snake-like or arc-like)continua, are precisely the Hausdorff reflections of inverse limits of sequences of finite COTS under maps which are continuous and are separating. |
| first_indexed | 2024-12-23T06:21:56Z |
| format | Article |
| id | doaj.art-062c619217504faeb6b1799cb4d0255f |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-23T06:21:56Z |
| publishDate | 2001-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-062c619217504faeb6b1799cb4d0255f2022-12-21T17:57:10ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472001-10-012216517710.4995/agt.2001.21471702The chainable continua are the spaces approximated by finite COTSJudy A. Kennedy0Ralph D. Kopperman1Richard G. Wilson2University of DelawareCity University of New YorkUniversidad Autónoma MetropolitanaWe show that the chainable continua (also called snake-like or arc-like)continua, are precisely the Hausdorff reflections of inverse limits of sequences of finite COTS under maps which are continuous and are separating.http://polipapers.upv.es/index.php/AGT/article/view/2147Chainable continuumKnaster continuumCircle-like continuumInverse limitCOTSConnected ordered topological space |
| spellingShingle | Judy A. Kennedy Ralph D. Kopperman Richard G. Wilson The chainable continua are the spaces approximated by finite COTS Applied General Topology Chainable continuum Knaster continuum Circle-like continuum Inverse limit COTS Connected ordered topological space |
| title | The chainable continua are the spaces approximated by finite COTS |
| title_full | The chainable continua are the spaces approximated by finite COTS |
| title_fullStr | The chainable continua are the spaces approximated by finite COTS |
| title_full_unstemmed | The chainable continua are the spaces approximated by finite COTS |
| title_short | The chainable continua are the spaces approximated by finite COTS |
| title_sort | chainable continua are the spaces approximated by finite cots |
| topic | Chainable continuum Knaster continuum Circle-like continuum Inverse limit COTS Connected ordered topological space |
| url | http://polipapers.upv.es/index.php/AGT/article/view/2147 |
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