## A Bing-Borsuk retract which contains a 2-dimensional absolute retract |

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2-dimensional AE replacing 2-simplex of Tl 3-dimensional ball admissible triple aeT2 Ak+1 annulus Antoine's necklace Bdij Bing-Borsuk retract boundary chain of solid Ck+1 closed neighborhood compact construct a retraction contains a 2-dimensional continuous extension contractible 2-complex decomposition of Q deformation retraction denote diam diameter less dimX distinct 2-simplexes Eecall exist a positive fc+1 flange fonetions hence identity identity map increases without bound index of stage Inti Intij Jk+1 Lemma less than 1/2 locally a 2-complex locally finite mesh less misses Xk mk+l mutually disjoint polyhedral non-negative integer null sequence number of points polygonal arc polyhedral disc polyhedral meridional disc polyhedral solid torus polyhedron positive integer positive number relative rn+1 Section simple closed curve simplex solid tori spans special arc special meridional disc special neighborhood Suppose torus in IntQ universal covering space upper semicontinuous decomposition winding number Wk+1 Xk+1