This is a preview of subscription content, log in via an institution to check access.
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
F. D. Ancel, Cell-like maps and the Kozlowski-Walsh Theorem—some alternative proofs, seminar notes, University of Texas, Austin, 1978.
E. G. Begle, The Vietoris mapping theorem for bicompact spaces, Ann. of Math. (2) 56(1952) 354–362.
M. Brown, Some applications of an approximation theorem for inverse limits, Proc. Amer. Math. Soc. 11(1960) 478–483.
J. Dugundji, An extension of Tietze's Theorem, Pacific J. Math. 1(1951) 353–367.
R. D. Edwards, A theorem and a question related to cohomological dimension and cell-like maps, Notices Amer. Math. Soc. 25(1978) A-259.
W. Hurewicz and H. Wallman, Dimension Theory, Princeton University Press, Princeton, N.J., 1941.
G. Kozlowski, Images of ANR's, to appear in Trans. Amer. Math. Soc.
V. J. Kuźminov, Homological dimension theory, Russian Math. Surveys 23(1968) 1–45.
R. C. Lacher, Cell-like mappings and their generalizations, Bull. Amer. Math. Soc. 83(1977) 495–552.
S. Mardešic' and J. Segal, ɛ-mappings onto polyhedra, Trans. Amer. Math. Soc. 109(1963) 146–164.
K. Nagami, Dimension Theory, Academic Press, New York and London, 1970.
E. H. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Walsh, J.J. (1981). Dimension, cohomological dimension, and cell-like mappings. 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/BFb0089711
Download citation
DOI: https://doi.org/10.1007/BFb0089711
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