Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K. Borsuk, Theory of shape, Mathematical Monographs Vol. 59, Polish Scientific Publishers, Warsaw 1975.
T.A. Chapman, On some applications of finite-dimensional manifolds to the theory of shape, Fund. Math. 76 (1972), 181–193.
M.L.Curtis, On 2-complexes in 4-spaces, Topology of 3-manifolds and related topics, Prentice Hall, 1962.
M.J. Dunwoody, The homotopy type of two-dimensional complex, Bull. London Math. Soc. 8 (1976), 282–285.
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.
P.F.Duvall and L.S.Husch, Embedding finite covers into bundles with an application to embedding manifold-like continua up to shape, preprint.
J. Dydak and J. Segal, Shape theory, An Introduction, Lecture Notes in Math. No 688, Springer-Verlag, Berlin-Heidelberg-New-York 1978.
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.
S. Ferry, A stable converse to the Vietoris-Smale theorem with applications to shape theory, Trans. Amer. Math. Soc. 261 (1980), 369–386.
A. Flores, Über die Existenz n-dimensionaler Komplexe die nicht in den R2n topologisch einbettbar sind, Ergebnisse eines Math. Kolloquium 5 (1932–33), 17–24.
J.F.P. Hudson, Piecewise linear topology, W.A.Benjamin, Inc., New York, 1969.
L.S. Husch and I. Ivanšić, Shape domination and embedding up to shape, Compositio Math. 40(1980), 153–166
L.S.Husch and I.Ivanšić, Embeddings and concordances of embeddings up to shape, Preprint, University of Zagreb 1977.
W. Hurewicz and H. Wallman, Dimension Theory, Princeton University Press, Princeton 1948.
I. Ivanšić, Embedding compacta up to shape, Bull. Acad.Polon.Sci.Sér.Sci.Math. Astronom. Phys. 25(1977), 471–475.
I. Ivanšić and R.B.Sher, A complement theorem for continua in a manifold, preprint.
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.
J. Krasinkiewicz, Continuous images of continua and 1-movability, Fund.Math. 98(1978), 141–164.
S. Mardešić, On the Whitehead theorem in shape theory I; II, Fund. Math. 91 (1976), 51–64; 93–103.
J.W. Milnor, Characteristic classes, Princeton Univ.Press, Princeton 1974.
S.Mardešić and J.Segal, Shape Theory, ANR System Approach, In preparation.
P. Peterson, Some non-embedding problems, Bol.Soc.Mat.Mexicana 2(1957), 9–15.
J.Stallings, The embedding of homotopy types into manifolds, Mimeo notes, Princeton University 1965.
A. Trybulec, On shape of movable curves, Bull.Acad.Polon.Sci.Sér.Sci.Math. Astronom.Phys. 21(1973), 727–733.
G.A.Venema, An approximation theorem in the shape category, preprint.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Husch, L.S., Ivanšić, I. (1981). Embedding compacta up to shape. In: Mardešić, S., Segal, J. (eds) Shape Theory and Geometric Topology. Lecture Notes in Mathematics, vol 870. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089712
Download citation
DOI: https://doi.org/10.1007/BFb0089712
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10846-7
Online ISBN: 978-3-540-38749-7
eBook Packages: Springer Book Archive