article · University of Birmingham Research Portal (University of Birmingham) · 2016

Untitled

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Abstract

AbstractThe Hausdorff–Alexandroff Theorem states that any compact metric space is the continuous image of Cantor's ternary set C. It is well known that there are compact Hausdorff spaces of cardinality equal to that of C that are not continuous images of Cantor's ternary set. On the other hand, every compact countably infinite Hausdorff space is a continuous image of C. Here, we present a compact countably infinite non-Hausdorff space that is not the continuous image of Cantor's ternary set.

Cite this paper

APA 7

Dreher, F., & Samuel, T. (2016). Untitled. University of Birmingham Research Portal (University of Birmingham).

MLA 9

Dreher, Fabian, and Tony Samuel. “Untitled.” University of Birmingham Research Portal (University of Birmingham), 2016.

Chicago

Dreher, Fabian, and Tony Samuel. 2016. “Untitled.” University of Birmingham Research Portal (University of Birmingham).

Harvard

Dreher, F. and Samuel, T. (2016) ‘Untitled’, University of Birmingham Research Portal (University of Birmingham).

BibTeX

@article{dreher2016untitled,
  title = {{Untitled}},
  author = {Dreher, Fabian and Samuel, Tony},
  journal = {University of Birmingham Research Portal (University of Birmingham)},
  year = {2016}
}

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