Centrally symmetric and balanced triangulations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e322" altimg="si12.svg"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">S</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo linebreak="goodbreak" linebreakstyle="after">×</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">S</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mo>−</mml:mo><mml:mn>3</mml:mn></…
Abstract
A small triangulation of the sphere product can be found in lower dimensions by computer search and is known in few other cases: Klee and Novik constructed a centrally symmetric triangulation of Si×Sd−i−1 with 2d+2 vertices for all d≥3 and 1≤i≤d−2; they also proposed a balanced triangulation of S1×Sd−2 with 3d or 3d+2 vertices. In this paper, we provide another centrally symmetric (2d+2)-vertex triangulation of S2×Sd−3. We also construct the...
Paper Details
Title
Centrally symmetric and balanced triangulations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e322" altimg="si12.svg"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">S</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo linebreak="goodbreak" linebreakstyle="after">×</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">S</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mo>−</mml:mo><mml:mn>3</mml:mn></…
Published Date
Mar 1, 2020
Volume
85
Pages
103043 - 103043
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