English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We show that any collection of n-dimensional orbifolds with sectionalcurvature and volume uniformly bounded below, diameter bounded above, and withonly isolated singular points contains orbifolds of only finitely many orbifoldhomeomorphism types. This is a generalization to the orbifold category of asimilar result for manifolds proven by Grove, Petersen, and Wu. It follows thatany Laplace isospectral collection of orbifolds with sectional curvatureuniformly bounded below and having only isolated singular points also containsonly finitely many orbifold homeomorphism types. The main steps of the argumentare to show that any sequence from the collection has subsequence thatconverges to an orbifold, and then to show that the homeomorphism between theunderlying spaces of the limit orbifold and an orbifold from the subsequencethat is guaranteed by Perelman's stability theorem must preserve orbifoldstructure.

Orbifold homeomorphism finiteness based on geometric constraints