Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
Bartleby Related Questions Icon

Related questions

Question
**Exercise 3: Category Composition**

Consider a category \(\mathcal{N}\) having only one object, denoted as \(*\), and with an arrow \(n: * \rightarrow *\) for every natural number. Moreover, suppose that the composition of two arrows \(m\) and \(n\) is defined by addition, i.e., \(m \circ n = m + n\).

**Problem:**
Determine the natural number \(n\) that corresponds to the identity arrow \(id_*: * \rightarrow *\). Verify that the three axioms of composition are satisfied.
expand button
Transcribed Image Text:**Exercise 3: Category Composition** Consider a category \(\mathcal{N}\) having only one object, denoted as \(*\), and with an arrow \(n: * \rightarrow *\) for every natural number. Moreover, suppose that the composition of two arrows \(m\) and \(n\) is defined by addition, i.e., \(m \circ n = m + n\). **Problem:** Determine the natural number \(n\) that corresponds to the identity arrow \(id_*: * \rightarrow *\). Verify that the three axioms of composition are satisfied.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Text book image
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Text book image
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Basic Technical Mathematics
Advanced Math
ISBN:9780134437705
Author:Washington
Publisher:PEARSON
Text book image
Topology
Advanced Math
ISBN:9780134689517
Author:Munkres, James R.
Publisher:Pearson,