A class of transformations of the plane
- 24 October 1955
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 51 (4) , 554-564
- https://doi.org/10.1017/s0305004100030644
Abstract
Let Z denote the extended complex plane with the natural topology. That is, Z consists of the finite complex plane Zf together with a point, denoted by ∞, any neighbourhood of which consists of the union of this point and the complement of a bounded set of ZF. Let Z* = [z │ z ↦ Z, z ╪ 0, z ╪ ∞]. Thus Z is homoeomorphic to a 2-sphere and Z* is homoeomorphic to a cylinder.Keywords
This publication has 3 references indexed in Scilit:
- A problem on topological transformations of the plane. IIMathematical Proceedings of the Cambridge Philosophical Society, 1951
- A problem on topological transformation of the planeFundamenta Mathematicae, 1937
- ber die Gleichverteilung von Zahlen mod. EinsMathematische Annalen, 1916