Spacesof continuous functions defined on Mrowka spaces
We prove that for a maximal almost disjoint family A on omega, the space C-p(Psi (A), 2(omega)) of continuous Cantor-valued functions with the pointwise convergence topology defined on the Mrowka space Psi (A) is not normal. Using CH we construct a maximal almost disjoint family A for which the spac...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2005 |
| Country: | México |
| Institution: | Universidad Nacional Autónoma de México |
| Repository: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1536 |
| Online Access: | http://hdl.handle.net/11154/1536 |
| Access Level: | Open access |
| Keyword: | Mathematics, Applied Mathematics almost disjoint family mad family Mrowka space Mrowka mad family normal space Lindelof space extent |
| Summary: | We prove that for a maximal almost disjoint family A on omega, the space C-p(Psi (A), 2(omega)) of continuous Cantor-valued functions with the pointwise convergence topology defined on the Mrowka space Psi (A) is not normal. Using CH we construct a maximal almost disjoint family A for which the space C-p( Psi (A), 2) of continuous {0, 1}-valued functions defined on Psi (A) is Lindelof. These theorems improve some results due to Dow and Simon in [Spaces of continuous functions over a Psi-space, Preprint]. We also prove that this space C-p (Psi (A), 2) = X is a Michael space |
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