Recognition of plane-to-plane map-germs

Yutaro Kabata

doi:10.1016/j.topol.2016.01.011

Recognition of plane-to-plane map-germs

Yutaro Kabata

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We present a complete set of criteria for determining A-types of plane-to-plane map-germs of corank one with A-codimension≤6, which provides a new insight into the A-classification theory from the viewpoint of recognition problem. As an application to generic differential geometry, we discuss about projections of smooth surfaces in 3-space.

Original language	English
Pages (from-to)	216-238
Number of pages	23
Journal	Topology and its Applications
Volume	202
DOIs	https://doi.org/10.1016/j.topol.2016.01.011
Publication status	Published - Apr 1 2016
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/j.topol.2016.01.011

Cite this

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abstract = "We present a complete set of criteria for determining A-types of plane-to-plane map-germs of corank one with A-codimension≤6, which provides a new insight into the A-classification theory from the viewpoint of recognition problem. As an application to generic differential geometry, we discuss about projections of smooth surfaces in 3-space.",

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AB - We present a complete set of criteria for determining A-types of plane-to-plane map-germs of corank one with A-codimension≤6, which provides a new insight into the A-classification theory from the viewpoint of recognition problem. As an application to generic differential geometry, we discuss about projections of smooth surfaces in 3-space.

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Recognition of plane-to-plane map-germs

Abstract

All Science Journal Classification (ASJC) codes

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