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Homology Separation and 2-Homogeneity
| Content Provider | Scilit |
|---|---|
| Author | Kuperberg, Krystyna M. Kuperberg, Wlodzimierz Transue, William R. R. |
| Copyright Year | 2020 |
| Description | The homology separation axiom is introduced to investigate homogeneity properties of Cartesian products of continua. We prove that under certain conditions of a homological nature the products are factorwise rigid. Also, if the product X × Y of an n-dimensional representable continuum X and a non-degenerate continuum Y is 2-homogeneous, then X is locally n-acyclic. In particular, the product B × Y of μn -manifold B (based on the n-dimensional Menger universal compactum μn ) with any non-degenerate continuum Y is not 2-homogeneous. These theorems generalize a previous result of the same authors and some results of J. Kennedy Phelps. Book Name: Continua |
| Related Links | https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9781003072379-23&type=chapterpdf |
| Ending Page | 294 |
| Page Count | 8 |
| Starting Page | 287 |
| DOI | 10.1201/9781003072379-23 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-12-17 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Continua Homogeneous Homology Kennedy Manifold Theorems Compactum Acyclic Menger |
| Content Type | Text |
| Resource Type | Chapter |
