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In ArcGis it is possible to export map as svg file. Go to "File > Export map" and select *.svg as export file type.
Reduce the
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size of svg files
Within inkscape the size of an svg file can be reduced by saving it as compressed svg file (*.svgz) or as plain svg file. Also cleaning up the file by using the "vaccum vacuum defs" option in the file menu makes the file significantly smaller.