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Proceedings of the American Mathematical Society
Article . 1992 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1992 . Peer-reviewed
Data sources: Crossref
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Pseudocontraction and homotopy of the sin(1/𝑥) curve

Pseudocontraction and homotopy of the \(\sin{}(1/x)\) curve
Authors: Katsuura, Hidefumi;

Pseudocontraction and homotopy of the sin(1/𝑥) curve

Abstract

We will prove that the space sin ⁡ 1 / x \sin 1/x curve is not pseudocontractible using itself as the parameter space and that it has finitely many different homotopy equivalent classes of maps.

Keywords

Continua and generalizations, Homotopy theory, homotopy classes of maps, pseudocontractible

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze