namespace http://mathhub.info/MitM/core/topology 
import base http://mathhub.info/MitM/Foundation 
import calc http://mathhub.info/MitM/core/calculus 

theory RealTopology : base:?Logic =
	include ☞calc:?RealMetricSpace
	include ☞calc:?MetricSpaceAsTopology 
	include ?OpenSetTopology 
	

	realTopology = metricAsTopology realmetricspace  : topology ℝ
	realTopologicalSpace = [' universe := ℝ , topology := realTopology  '] : topologicalSpace