dc.contributor.author | Muturi, Njuguna E | |
dc.date.accessioned | 2018-07-24T13:14:17Z | |
dc.date.available | 2018-07-24T13:14:17Z | |
dc.date.issued | 2014 | |
dc.identifier.uri | http://hdl.handle.net/123456789/7157 | |
dc.description.abstract | The set of continuous functions from topological space Y to topological space Z endowed with topology T forms the function space C<sub>T </sub>(Y;Z). For A ⊂Y , the set C(A;Z) of continuous functions from the space A to the space Z forms the underlying function space Cζ(A;Z) with the induced topology ζ. Topology T and the induced topology ζ satisfies properties of splitting or admissibility and R<sub> A⊂</sub>Y -splitting or R <sub>A⊂</sub>Y -admissible properties respectively. In this paper we show that the underlying function space Cζ(A;Z) is topologically equivalent to the subspace Cϱ(U∘ V∘) of the function space C<sub>T</sub>(Y;Z). | en_US |
dc.language.iso | en | en_US |
dc.title | Homeomorphism between the underlying function space and the subspace of the function space. | en_US |
dc.type | Learning Object | en_US |