◀ ▲ ▶Branches / Topology / Chapter: Construction of Topologies
Chapter: Construction of Topologies
Sometimes, there is a need to construct a topology for a given set $X$ that suits some purpose by fulfilling certain properties. In this chapter, we discuss different ways that allow us to construct topologies.
Table of Contents
- Definition: Topological Subspaces and Subspace Topologies
- Definition: Hereditary and Weakly Hereditary Properties
- Proposition: Construction of Topological Spaces Using a Subbasis
- Definition: Topological Sum, Disjoint Union
- Definition: Topological Product, Product Topology
- Definition: Subbasis and Basis of Topology
Thank you to the contributors under CC BY-SA 4.0!
- Steen, L.A.;Seebach J.A.Jr.: "Counterexamples in Topology", Dover Publications, Inc, 1970
- Jänich, Klaus: "Topologie", Springer, 2001, 7th Edition
- Grotemeyer, K.P.: "Topologie", B.I.-Wissenschaftsverlag, 1969