Pseudo-solenoids are not continuously homogeneous
The topological space X is a pseudo-solenoid if X is a hereditarily indecomposable, non-chainable, and circle-like continuum. It is shown that no such continuum is continuously homogeneous. Specifically, there are two points in X, identified as z and 1 ¯ , such that for any continuous surjection f :...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Sturm, Frank [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Umfang: |
16 |
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| Übergeordnetes Werk: |
Enthalten in: Frequent mutations in the RPL22 gene and its clinical and functional implications - 2013, a journal devoted to general, geometric, set-theoretic and algebraic topology, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:171 ; year:2014 ; day:1 ; month:07 ; pages:71-86 ; extent:16 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.topol.2014.03.014 |
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ELV039242633 |
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| 520 | |a The topological space X is a pseudo-solenoid if X is a hereditarily indecomposable, non-chainable, and circle-like continuum. It is shown that no such continuum is continuously homogeneous. Specifically, there are two points in X, identified as z and 1 ¯ , such that for any continuous surjection f : X → X , f ( 1 ¯ ) ≠ z . This answers a question of J.J. Charatonik in the negative. | ||
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10.1016/j.topol.2014.03.014 doi GBVA2014005000028.pica (DE-627)ELV039242633 (ELSEVIER)S0166-8641(14)00125-4 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 610 VZ 44.11 bkl Sturm, Frank verfasserin aut Pseudo-solenoids are not continuously homogeneous 2014 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The topological space X is a pseudo-solenoid if X is a hereditarily indecomposable, non-chainable, and circle-like continuum. It is shown that no such continuum is continuously homogeneous. Specifically, there are two points in X, identified as z and 1 ¯ , such that for any continuous surjection f : X → X , f ( 1 ¯ ) ≠ z . This answers a question of J.J. Charatonik in the negative. Continuous homogeneity Elsevier Pseudo-circle Elsevier Pseudo-solenoid Elsevier Pseudo-arc Elsevier Inverse limits Elsevier Continuum theory Elsevier Hereditarily indecomposable continua Elsevier Open homogeneity Elsevier General homogeneity Elsevier Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:171 year:2014 day:1 month:07 pages:71-86 extent:16 https://doi.org/10.1016/j.topol.2014.03.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 171 2014 1 0701 71-86 16 045F 510 |
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10.1016/j.topol.2014.03.014 doi GBVA2014005000028.pica (DE-627)ELV039242633 (ELSEVIER)S0166-8641(14)00125-4 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 610 VZ 44.11 bkl Sturm, Frank verfasserin aut Pseudo-solenoids are not continuously homogeneous 2014 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The topological space X is a pseudo-solenoid if X is a hereditarily indecomposable, non-chainable, and circle-like continuum. It is shown that no such continuum is continuously homogeneous. Specifically, there are two points in X, identified as z and 1 ¯ , such that for any continuous surjection f : X → X , f ( 1 ¯ ) ≠ z . This answers a question of J.J. Charatonik in the negative. Continuous homogeneity Elsevier Pseudo-circle Elsevier Pseudo-solenoid Elsevier Pseudo-arc Elsevier Inverse limits Elsevier Continuum theory Elsevier Hereditarily indecomposable continua Elsevier Open homogeneity Elsevier General homogeneity Elsevier Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:171 year:2014 day:1 month:07 pages:71-86 extent:16 https://doi.org/10.1016/j.topol.2014.03.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 171 2014 1 0701 71-86 16 045F 510 |
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The topological space X is a pseudo-solenoid if X is a hereditarily indecomposable, non-chainable, and circle-like continuum. It is shown that no such continuum is continuously homogeneous. Specifically, there are two points in X, identified as z and 1 ¯ , such that for any continuous surjection f : X → X , f ( 1 ¯ ) ≠ z . This answers a question of J.J. Charatonik in the negative. |
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The topological space X is a pseudo-solenoid if X is a hereditarily indecomposable, non-chainable, and circle-like continuum. It is shown that no such continuum is continuously homogeneous. Specifically, there are two points in X, identified as z and 1 ¯ , such that for any continuous surjection f : X → X , f ( 1 ¯ ) ≠ z . This answers a question of J.J. Charatonik in the negative. |
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The topological space X is a pseudo-solenoid if X is a hereditarily indecomposable, non-chainable, and circle-like continuum. It is shown that no such continuum is continuously homogeneous. Specifically, there are two points in X, identified as z and 1 ¯ , such that for any continuous surjection f : X → X , f ( 1 ¯ ) ≠ z . This answers a question of J.J. Charatonik in the negative. |
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Pseudo-solenoids are not continuously homogeneous |
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