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With the gradual implementation of strategies to achieve the goals of reaching peak carbon emissions and carbon neutrality, the heterogeneous performance of low-carbon technological progress driving carbon emission reduction in different situations has become an important basis for targeted technological carbon reduction. As an important special subject of national energy resource security and carbon emission reduction, whether resource-based cities can reach peak carbon emissions simultaneously is a key to the achievement of the ' dual carbon' goals. This paper reviewed the theoretical literature on low-carbon technology progress and carbon emissions in resource-based cities, and extracted the their driving mechanisms. Based on the panel data of 116 prefecture-level resource-based cities in China from 2005 to 2019, this paper innovatively considered six undesirable outputs with resource-based city characteristics to define the low-carbon technological progress of such cities, and used the DEA-Malmquist index model, STIRPAT model, and threshold model to clarify the current situation of low-carbon technological progress and carbon emissions in resource-based cities. The study also carried out a deep analysis of the driving relationship and threshold effect between low-carbon technological progress and carbon emission reduction, and compared and analyzed their multiple heterogeneity. The study found that during the sample period, the low-carbon technology progress of these 116 prefecture-level resource-based cities showed a phased upward trend, and that carbon emissions had obvious regional heterogeneity and type heterogeneity. The progress of low-carbon technology in resource-based cities had a certain inhibitory effect on carbon emissions and presented type heterogeneity, regional heterogeneity, and a double threshold effect. In different threshold ranges, the driving effects of low-carbon technology on carbon emission reduction effect and carbon emission reduction rebound effect were different. The driving effects of other seven control variables, such as gross domestic product, command-based environmental regulation, market-based environmental regulation, voluntary environmental regulation, industrial structure, energy consumption structure, and foreign direct investment, on carbon emissions were also different. Finally, based on the research conclusions, regarding different regional resource-based cities, different types of resource-based cities, and different levels of low-carbon technology progress in resource-based cities, policy recommendations related to low-carbon technology progress and carbon emission reduction are proposed in a targeted manner, aiming to promote the improvement of low-carbon technology progress in resource-based cities and the simultaneous achievement of carbon emission reduction targets. [ABSTRACT FROM AUTHOR]