Abstract
We prove that every space of homogeneous type $(X,\rho,\mu)$ is either an LCH space and $\mu$ is a Radon measure, or $X$ may be identified as a dense subset, with inherited quasi-distance and measure, of another space of homogeneous type which is LCH. We also take an opportunity to present a metamathematical principle which is useful in proving results for general quasi-metric measure spaces by reducing arguments to the case of metric measure spaces.
Citation
Krzysztof Stempak. "ON SOME STRUCTURAL PROPERTIES OF SPACES OF HOMOGENEOUS TYPE." Taiwanese J. Math. 19 (2) 603 - 613, 2015. https://doi.org/10.11650/tjm.19.2015.3428
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