Abstract
The integer n≧1 will be arbitrary but fixed until further notice. A bounded domain D in R n is a nonempty, bounded, connected, open set. A pair of non-empty compact sets X, Y in R n will be said to form a frame for D if X > Y and X - Y = D. The symbol [X, Y, D] will be used to refer to this situation. For brevity, we shall speak simply of the frame [X, Y, D]. Thus the use of this term is merely an abbreviation for the following set of statements.
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.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1955 Springer-Verlag OHG. in Berlin, Göttingen and Heidelberg
About this chapter
Cite this chapter
Rado, T., Reichelderfer, P.V. (1955). Topological study of continuous transformations in Rn. In: Continuous Transformations in Analysis. Die Grundlehren der Mathematischen Wissenschaften, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85989-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-85989-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-85991-5
Online ISBN: 978-3-642-85989-2
eBook Packages: Springer Book Archive