Keywords
- Topological Space
- Normal Space
- Extension Theorem
- Logical Space
- Order Component
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Alò, R., and Sennott, L., "Collectionwise normality and the extension of functions on product spaces", Fund. Math. 76, 231–243 (1972).
Alò, R., and Sennott, L., "Extending linear space-valued functions", Math. Ann. 191, 79–86 (1971).
Arens, R., "Extensions of functions on fully normal spaces", Pacific J. Math. 2, 11–22 (1952).
Bing, R. H., "Metrization of topological spaces", Canad. J. Math. 3, 175–186 (1951).
Borges, C., "On stratifiable spaces", Pacific J. Math. 17, 1–16 (1966).
Borsuk, K., "Sur les prolongements des transformations continues", Fund. Math. 28, 99–110 (1938).
Borsuk, K., "Über Isomorphie der Funktionalräume", Bull. Intern. Acad. Pol. Sci. Ser. A, 1–10 (1933).
Ceder, J., "Some generalizations of metric spaces", Pacific J. Math. 11, 105–126 (1961).
Creede, G., "On semi-stratifiable spaces", Pacific J. Math. 32, 47–56 (1970).
Dugundji, J., "An extension of Tietze's Theorem", Pacific J. Math. 1, 353–367 (1951).
Geba, K., and Semadeni, Z., "Spaces of continuous functions (V)", Studia Math. 19, 303–320 (1960).
Heath, R., and Lutzer, D., "The Dugundji Extension Property and collectionwise normality", to appear.
Heath, R., and Lutzer, D., "Dugundji Extension Theorems for linearly ordered spaces", to appear in Pacific J. Math.
Heath, R., Lutzer, D., and Zenor, P., "Monotonically normal spaces", Trans. Amer. Math. Soc. 178, 481–493 (1973).
Kakutani, S., "Simultaneous extension of continuous functions considered as a positive linear operation", Japan J. Math. 17, 1–4 (1940).
Michael, E., "Some extension theorems for continuous functions", Pacific J. Math. 3, 789–806 (1953).
van Douwen, E. K., "A non-criterion for monotone normality", to appear.
van Douwen, E. K., "Simultaneous linear extension of continuous functions", to appear.
Okuyama, A., "σ-spaces and closed mappings, I", Proc. Japan Acad. 44, 472–477 (1968).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag
About this paper
Cite this paper
Heath, R.W. (1974). Some remarks on extension theorems in monotonically normal spaces. In: Alò, R.A., Heath, R.W., Nagata, Ji. (eds) TOPO 72 — General Topology and its Applications. Lecture Notes in Mathematics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068473
Download citation
DOI: https://doi.org/10.1007/BFb0068473
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06741-2
Online ISBN: 978-3-540-38323-9
eBook Packages: Springer Book Archive
