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A Universal Continuum of Weight aleph
We prove that every continuum of weight aleph_1 is a continuous image of the Cech-Stone-remainder R^* of the real line. It follows that under CH the remainder of the half line [0,infty) is universal among the continua of weight c. We complement this result by showing that 1) under MA every continuum...
Autores principales: | , |
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Lenguaje: | eng |
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1998
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Acceso en línea: | http://cds.cern.ch/record/356413 |
_version_ | 1780892517414207488 |
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author | Dow, A Hart, K P |
author_facet | Dow, A Hart, K P |
author_sort | Dow, A |
collection | CERN |
description | We prove that every continuum of weight aleph_1 is a continuous image of the Cech-Stone-remainder R^* of the real line. It follows that under CH the remainder of the half line [0,infty) is universal among the continua of weight c. We complement this result by showing that 1) under MA every continuum of weight less than c is a continuous image of R^* 2) in the Cohen model the long segment of length omega_2+1 is not a continuous image of R^*, and 3) PFA implies that I_u is not a continuous image of R^*, whenever u is a c-saturated ultrafilter. |
id | cern-356413 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1998 |
record_format | invenio |
spelling | cern-3564132019-09-30T06:29:59Zhttp://cds.cern.ch/record/356413engDow, AHart, K PA Universal Continuum of Weight alephMathematical Physics and MathematicsWe prove that every continuum of weight aleph_1 is a continuous image of the Cech-Stone-remainder R^* of the real line. It follows that under CH the remainder of the half line [0,infty) is universal among the continua of weight c. We complement this result by showing that 1) under MA every continuum of weight less than c is a continuous image of R^* 2) in the Cohen model the long segment of length omega_2+1 is not a continuous image of R^*, and 3) PFA implies that I_u is not a continuous image of R^*, whenever u is a c-saturated ultrafilter.math.GN/9805008oai:cds.cern.ch:3564131998-06-04 |
spellingShingle | Mathematical Physics and Mathematics Dow, A Hart, K P A Universal Continuum of Weight aleph |
title | A Universal Continuum of Weight aleph |
title_full | A Universal Continuum of Weight aleph |
title_fullStr | A Universal Continuum of Weight aleph |
title_full_unstemmed | A Universal Continuum of Weight aleph |
title_short | A Universal Continuum of Weight aleph |
title_sort | universal continuum of weight aleph |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/356413 |
work_keys_str_mv | AT dowa auniversalcontinuumofweightaleph AT hartkp auniversalcontinuumofweightaleph AT dowa universalcontinuumofweightaleph AT hartkp universalcontinuumofweightaleph |