Template:Topology navbox

From Maths

Revision as of 23:07, 22 February 2017 by Alec (Talk | contribs) (Added path connectedness)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to: navigation, search

v • d • e Topology

Overview of the structures studied in topology

Primitives	topological space, open set, neighbourhood

Global properties of topological spaces	Compactness, Connectedness (Path-Connectedness), Hausdorff-ness

Local properties of topological spaces

Constructs	product (see also box, difference between), subspace (AKA: induced), quotient, disjoint union, adjunction, cone over a topological space

Subtypes of topological spaces	inner product spaces [ilmath]\subset[/ilmath] normed spaces [ilmath]\subset[/ilmath] metric spaces [ilmath]\subset[/ilmath] topological spaces

Maps between topological spaces	Continuous map (AKA: topological homomorphism), topological homeomorphism

TODO: AKAs for quotient topology

TODO: Order topology

TODO: Complete versions

TODO: Sequences

TODO: Limits

Retrieved from "http://wiki.unifiedmathematics.com/index.php?title=Template:Topology_navbox&oldid=4223"

Navigation menu