A microcooler with channels through which coolant flows. The channels are formed by individual cooler layers having a region which is structured in the manner of a screen and having a plurality of openings with edge lines closed and with material bridges or material regions remaining between these openings. None of the openings on any of the cooler layers form a continuous channel which extends from a collection space for feed of the coolant to a collection space for drainage of the coolant. The individual breaches, and the material bridges or material regions, provided between them are offset from cooler layer to cooler layer such that flow of the coolant through the cooler is possible only with continuous changing of the layers. Using the breaches within the cooler results in a highly branched labyrinth through which coolant flows. The size of the breaches and the width of the material sections and material bridges are matched to one another such that flow through is possible with continuous changing of the layers. This microcooler has the advantage that very intensive flow around the bridges and material regions formed by the individual layers takes place by the heat-transporting medium so that intensive heat transfer is achieved between this medium and the layers of the microcooler.