# Homeomorphisms between function spaces

## Abstract

Given a space $$X$$ and topological group $$H$$, $$C(X,H)$$ denotes the set of all continuous functions from a space $$X$$ to a topological group $$H$$. For a subset $$A$$ of a space $$X$$, $$X/A$$Â denotes the quotient space with quotient topology obtained from $X$ by identifying $A$ to a point. We study some homeomorphisms between $$C(X,H)$$ and $$C(Y,H)$$ for different $$X$$ and $$Y$$ under the point-open topology, open-point topology and bi-point-open topology.

## Article Details

How to Cite
Luthra, S., & Kishore Tyagi, B. . (2020). Homeomorphisms between function spaces. Journal of Advanced Studies in Topology, 11(1-2), 1–5. Retrieved from https://m-sciences.com/?journal=jast&page=article&op=view&path[]=1608
Section
Original Articles

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