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Applied Algebraic Topology

September 12, 2013. Speeding up Homology via Duality? In the last post. I constructed for any locally finite simplicial complex. A dual complex. Today, I thought of using this to gain a potential speed-up in computational homology. Note that simplicial homology of. Is the same as Cech homology of the cover given by open stars of the vertices of. This is because the nerve of this cover is precisely. And Cech homology is not-so-secretly the simplicial homology of the nerve. This presents a question of po.
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Applied Algebraic Topology

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September 12, 2013. Speeding up Homology via Duality? In the last post. I constructed for any locally finite simplicial complex. A dual complex. Today, I thought of using this to gain a potential speed-up in computational homology. Note that simplicial homology of. Is the same as Cech homology of the cover given by open stars of the vertices of. This is because the nerve of this cover is precisely. And Cech homology is not-so-secretly the simplicial homology of the nerve. This presents a question of po.

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The site had the following in the homepage, "Speeding up Homology via Duality? In the last post." I noticed that the web site stated " I constructed for any locally finite simplicial complex." They also stated " Today, I thought of using this to gain a potential speed-up in computational homology. Note that simplicial homology of. Is the same as Cech homology of the cover given by open stars of the vertices of. This is because the nerve of this cover is precisely. And Cech homology is not-so-secretly the simplicial homology of the nerve. This presents a question of po."

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