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We propose a twisted D=N=2 superspace formalism. The relation between thetwisted super charges including the BRST charge, vector and pseudo scalar supercharges and the N=2 spinor super charges is established. We claim that thisrelation is essentially related with the Dirac-K\"ahler fermion mechanism. Weshow that a fermionic bilinear form of twisted N=2 chiral and anti-chiralsuperfields is equivalent to the quantized version of BF theory with the Landautype gauge fixing while a bosonic bilinear form leads to the N=2 Wess-Zuminoaction. We then construct a Yang-Mills action described by the twisted N=2chiral and vector superfields, and show that the action is equivalent to thetwisted version of the D=N=2 super Yang-Mills action, previously obtained fromthe quantized generalized topological Yang-Mills action with instanton gaugefixing.Comment: 36 page

TWISTED SUPERSPACE FOR N=D=2 SUPER BF AND YANG–MILLS WITH DIRAC–KÄHLER FERMION MECHANISM