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Spaces of Geodesic Triangulations of Surfaces

Spaces of Geodesic Triangulations of Surfaces

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2713093169

Spaces of Geodesic Triangulations of Surfaces

About this item

Full title

Spaces of Geodesic Triangulations of Surfaces

Author / Creator

Publisher

New York: Springer US

Journal title

Discrete & computational geometry, 2022-10, Vol.68 (3), p.709-727

Language

English

Formats

Publication information

Publisher

New York: Springer US

More information

Scope and Contents

Contents

We give a short proof of the contractibility of the space of geodesic triangulations with fixed combinatorial type of a convex polygon in the Euclidean plane. Moreover, for any
n
>
0
, we show that there exists a space of geodesic triangulations of a polygon with a triangulation, whose
n
-th homotopy group is not trivial.

Alternative Titles

Full title

Spaces of Geodesic Triangulations of Surfaces

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2713093169

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2713093169

Other Identifiers

ISSN

0179-5376

E-ISSN

1432-0444

DOI

10.1007/s00454-021-00359-4

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