The provisions of Chapter 2 (commencing with Section 5115) of Part 3 of Division 7 of this code providing for the construction of work and the levy of an assessment by a city within a county or by a county within a city, are incorporated in this division as if fully set out herein. Upon obtaining the consent required in that chapter, a city may construct improvements and levy an assessment in a county or in another city, a county may construct improvements and levy an assessment within a city, and a public corporation may consruct improvements and levy an assessment outside of its boundaries either within a city or within a county. If no assessment is to be levied outside the boundaries of the city, county, or public corporation conducting the assessment proceedings, the proposed resolution of intention need not be submitted or approved and the consent required shall be obtained prior to the ordering of the improvement.