Pushforward abstract simplicial complex

Definition 2.24. Assume that A is an abstract simplicial complex on A. We define the pushforward abstract simplicial complex f A) by setting... [Pg.16]

The pushforward abstract simplicial complex satisfies the following universal property whenever 17 is an abstract simplicial complex on B such that / is a simplicial map, the complex f A) must be an abstract simplicial subcomplex of 17. Phrased colloquially, f A) is obtained by pushing the simplicial structure A forward, and it is the minimal one that makes the set map / simplicial. [Pg.16]

The reader is invited to check that the following properties of pullbacks and pushforwards hold for any abstract simplicial complex A ... [Pg.17]

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