David B. Gauld
Abstract
ABSTRACT. A classification is given of continuous functions on the long line up to homotopy and homeomorphisms of the long line up to isotopy. The analogous problem for ω‐bounded 2‐manifolds is also investigated.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
ABSTRACT. A classification is given of continuous functions on the long line up to homotopy and homeomorphisms of the long line up to isotopy. The analogous problem for ω‐bounded 2‐manifolds is also investigated.
Key concepts: Bounded function, Isotopy, Homotopy, Mathematics, Pure mathematics, Line (geometry), Manifold (fluid mechanics), Real line