Image transformations on locally compact spaces

Gunnar Taraldsen

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arXiv · 1706.08170

Image transformations on locally compact spaces

Gunnar Taraldsen

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Abstract

An image is here defined to be a set which is either open or closed and an image transformation is structure preserving in the following sense: It corresponds to an algebra homomorphism for each singly generated algebra. The results extend parts of results of J.F. Aarnes on quasi-measures, -states, -homomorphisms, and image-transformations from the setting compact Hausdorff spaces to locally compact Hausdorff spaces.

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Gunnar Taraldsen. 2017-06-25. Image transformations on locally compact spaces. https://arxiv.org/abs/1706.08170

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