Encyclopedia > Z > Zariski topology
Zariski topology
In mathematics, namely algebraic geometry, the Zariski topology is a particular topology chosen for algebraic varieties that reflects the algebraic nature of their definition but is only weakly related to their geometric properties; it is due to Oscar Zariski and took a place of particular importance in the field around 1950. Joe Harris likes to say in his introductory lectures that it is "not a real topology" and points out that in the Zariski topology, every two algebraic curves are homeomorphic simply because their underlying sets have equal cardinalities and their topologies are both cofinite.
Information are taken from Wikipedia, the open encyclopedia, to which contribute many volunteers from around the whole world. Texts are available under the following conditions GNU Free Documentation License.
Encyklopedie (cz) Encyklopédia (sk) Enzyklopädie (de)