Embedding compacta up to shape

K. Borsuk, Theory of shape, Mathematical Monographs Vol. 59, Polish Scientific Publishers, Warsaw 1975.MATHGoogle Scholar

T.A. Chapman, On some applications of finite-dimensional manifolds to the theory of shape, Fund. Math. 76 (1972), 181–193.MathSciNetMATHGoogle Scholar

M.L.Curtis, On 2-complexes in 4-spaces, Topology of 3-manifolds and related topics, Prentice Hall, 1962.Google Scholar

M.J. Dunwoody, The homotopy type of two-dimensional complex, Bull. London Math. Soc. 8 (1976), 282–285.MathSciNetCrossRefMATHGoogle Scholar

P.F.Duvall and L.S.Husch, A continuum of dimension n which does not embedd up to shape in 2n-space, to appear in the Proceedings of 1978 Warsaw Topology Conference.Google Scholar

P.F.Duvall and L.S.Husch, Embedding finite covers into bundles with an application to embedding manifold-like continua up to shape, preprint.Google Scholar

J. Dydak and J. Segal, Shape theory, An Introduction, Lecture Notes in Math. No 688, Springer-Verlag, Berlin-Heidelberg-New-York 1978.MATHGoogle Scholar

D.A. Edwards and R. Geoghegan, Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction, Ann. Math. 101(1975), 521–535. Correction to "Shapes ….", Ann. Math. 104(1976), 389.MathSciNetCrossRefMATHGoogle Scholar

S. Ferry, A stable converse to the Vietoris-Smale theorem with applications to shape theory, Trans. Amer. Math. Soc. 261 (1980), 369–386.MathSciNetCrossRefMATHGoogle Scholar

A. Flores, Über die Existenz n-dimensionaler Komplexe die nicht in den R_2n topologisch einbettbar sind, Ergebnisse eines Math. Kolloquium 5 (1932–33), 17–24.Google Scholar

J.F.P. Hudson, Piecewise linear topology, W.A.Benjamin, Inc., New York, 1969.MATHGoogle Scholar

L.S. Husch and I. Ivanšić, Shape domination and embedding up to shape, Compositio Math. 40(1980), 153–166MathSciNetMATHGoogle Scholar

L.S.Husch and I.Ivanšić, Embeddings and concordances of embeddings up to shape, Preprint, University of Zagreb 1977.Google Scholar

W. Hurewicz and H. Wallman, Dimension Theory, Princeton University Press, Princeton 1948.MATHGoogle Scholar

I. Ivanšić, Embedding compacta up to shape, Bull. Acad.Polon.Sci.Sér.Sci.Math. Astronom. Phys. 25(1977), 471–475.MathSciNetMATHGoogle Scholar

I. Ivanšić and R.B.Sher, A complement theorem for continua in a manifold, preprint.Google Scholar

A. Kadlof, An example resolving Borsuk's problem doncerning the index e(X), Bull.Acad.Polon.Sci.Sér.Sci.Math.Astronom.Phys. 26(1978), 905–907.MathSciNetMATHGoogle Scholar

J. Krasinkiewicz, Continuous images of continua and 1-movability, Fund.Math. 98(1978), 141–164.MathSciNetMATHGoogle Scholar

S. Mardešić, On the Whitehead theorem in shape theory I; II, Fund. Math. 91 (1976), 51–64; 93–103.MathSciNetMATHGoogle Scholar

J.W. Milnor, Characteristic classes, Princeton Univ.Press, Princeton 1974.CrossRefMATHGoogle Scholar

S.Mardešić and J.Segal, Shape Theory, ANR System Approach, In preparation.Google Scholar

P. Peterson, Some non-embedding problems, Bol.Soc.Mat.Mexicana 2(1957), 9–15.MathSciNetMATHGoogle Scholar

J.Stallings, The embedding of homotopy types into manifolds, Mimeo notes, Princeton University 1965.Google Scholar

A. Trybulec, On shape of movable curves, Bull.Acad.Polon.Sci.Sér.Sci.Math. Astronom.Phys. 21(1973), 727–733.MathSciNetMATHGoogle Scholar

G.A.Venema, An approximation theorem in the shape category, preprint.Google Scholar