Compositions of continuous functions and connected functions
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- by Kenneth R. Kellum and Harvey Rosen PDF
- Proc. Amer. Math. Soc. 115 (1992), 145-149 Request permission
Abstract:
Suppose $f:X \to Y$ is continuous and onto and $g:Y \to Z$ is such that $g \circ f:X \to Z$ has a property we are interested in. For which properties of functions can we infer that $g$ has the same property? Properties for which we can infer this include continuity and the Darboux property. Properties for which we cannot include almost continuity.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 145-149
- MSC: Primary 54C05
- DOI: https://doi.org/10.1090/S0002-9939-1992-1073528-7
- MathSciNet review: 1073528