Shape domination and embedding up to shape

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1. [1] M.F. Atiyah and B.G. Segal: Equivalent K-theory and completion. J. Differential Geometry3 (1969) 1-18. Zbl0215.24403MR259946
2. [2] K. Borsuk: Theory of shape. Mathematical Monographs Vol. 59Polish Scientific Publishers, Warsaw1975. Zbl0317.55006MR418088
3. [3] R.H. Crowell and R.H. Fox: Introduction to knot theory. Ginn and Co., New York1963. Zbl0126.39105MR146828
4. [4] D.A. Edwards and R. Geoghegan: The stability problem in shape and a Whitehead theorem in pro-homotopy. Trans. Amer. Math. Soc.214 (1975) 261-278. Zbl0319.55017MR413095
5. [5] D.A. Edwards and R. Geoghegan: Compacta weak shape equivalent to ANR's. Fund. Math.90 (1976) 115-124. Zbl0316.55011MR394643
6. [6] R. Geoghegan and R.R. Summerhill: Concerning the shapes of finite dimensional compacta. Trans. Amer. Math. Soc.179 (1973) 281-292. Zbl0281.57004MR324637
7. [7] J.F.P. Hudson: Piecewise linear topology. W.A. Benjamin, Inc., New York1969. Zbl0189.54507MR248844
8. [8] W. Hurewicz and H. Wallman: Dimension theory. Princeton University Press, Princeton1948. Zbl0036.12501MR6493
9. [9] I Ivanšić: Embedding compacta up to shape. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. (to appear) Zbl0366.54009MR494085
10. [10] S. Mardešić: On the Whitehead theorem in shape theory I, II. Fund. Math.91 (1976) 51-64; 93-103. Zbl0327.55016MR407798
11. [11] S Mardešić:On covering dimension and inverse limits of compact spaces. Illinois J. Math.4 (1960) 278-291. Zbl0094.16902MR116306
12. [12] S Mardešić and J. Segal: Shapes of compacta and ANR systems. Fund. Math.72 (1971) 61-68. Zbl0222.55018MR301694
13. [13] D.R. Mcmillan JR: A criterion for cellularity in a manifold. Ann. of Math. (2)79 (1964) 327-337. Zbl0117.17102MR161320
14. [14] C.P. Rourke and B.J. Sanderson: Introduction to piecewise-linear topology. Springer-Verlag, Inc.New York1972. Zbl0254.57010MR350744
15. [15] L.C. Siebenmann: The obstruction to finding a boundary for an open manifold of dimension greater than five. Thesis. Princeton Univ., Princeton1965; order number 66-5012, University microfilms Ltd., 300 N. Zeeb Rd., Ann Arbor, Mich. 48106, USA. 
16. [16] L.C. Siebenmann: On detecting open collars. Trans. Amer. Math. Soc.142 (1969) 201-227. Zbl0195.53802MR246301
17. [17] L.C. Siebenmann, L. Guillou and H. Hähl: Les voisinages ouvertes réguliers: critères homotopiques d'existence. Ann. Sci. École Norm. Sup. (3)7 (1974) 431-461. Zbl0318.57011MR362324
18. [18] E.H. Spanier: Algebraic topology. McGraw-Hill Book Co., New York1966. Zbl0145.43303MR210112
19. [19] M.A. Štan'ko: Approximation of compacta in En in codimension greater than two. Mat. Sb.(N.S) 90(132) (1973) 625-636: [Math. USSR-Sb.19 (1973) 615-626]. Zbl0292.57014MR339194
20. [20] C.T.C. Wall: Finiteness conditions for CW-complexes. Ann. of Math.81 (1965) 56-69. Zbl0152.21902MR171284
21. [21] C.T.C. Wall: Geometrical connectivity I. J. London Math. Soc. (2)3 (1971) 597-604. Zbl0214.22304MR290387
22. [22] A. Kadlof (to appear).