Three-Dimensional Pseudomanifolds on Eight Vertices

<table>Hasse diagram of the poset of all the 3-pseudomanifolds <svg height="14.3875" id="M1752" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 78.375 14.3875" width="78.375" xmlns="http://www.w3.org/2000/svg">
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<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑁</tspan>
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<text transform="matrix(1,0,0,-1,-61.31,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">7</tspan>
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<text transform="matrix(1,0,0,-1,-56.44,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="5.2137508" y="0">…</tspan>
<tspan style="font-size: 12.50px; " x="19.79225" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="25.006001" y="0">𝑁</tspan>
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<text transform="matrix(1,0,0,-1,-20.79,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">5</tspan>
<tspan style="font-size: 8.75px; " x="8.7519999" y="0">.</tspan>
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International Journal of Mathematics and Mathematical Sciences

Three-Dimensional Pseudomanifolds on Eight Vertices

Figure 4