/usr/include/gstreamer-0.10/gst/base/ is in libgstreamer0.10-dev 0.10.36-1ubuntu1.
This file is owned by root:root, with mode 0o755.
..
/usr/include/gstreamer-0.10/gst/base/gstadapter.h
/usr/include/gstreamer-0.10/gst/base/gstbaseparse.h
/usr/include/gstreamer-0.10/gst/base/gstbasesink.h
/usr/include/gstreamer-0.10/gst/base/gstbasesrc.h
/usr/include/gstreamer-0.10/gst/base/gstbasetransform.h
/usr/include/gstreamer-0.10/gst/base/gstbitreader.h
/usr/include/gstreamer-0.10/gst/base/gstbytereader.h
/usr/include/gstreamer-0.10/gst/base/gstbytewriter.h
/usr/include/gstreamer-0.10/gst/base/gstcollectpads.h
/usr/include/gstreamer-0.10/gst/base/gstcollectpads2.h
/usr/include/gstreamer-0.10/gst/base/gstdataqueue.h
/usr/include/gstreamer-0.10/gst/base/gstpushsrc.h
/usr/include/gstreamer-0.10/gst/base/gsttypefindhelper.h