Engineering↗
Homology of Small Categories
Homology of a small category with coefficients in a functor, the nerve and its geometric realisation, comparison with group homology, and the associated spectral sequences.
Tag
Satellites & Kan Extensions
Every page in the KEVOS library tagged Satellites & Kan Extensions. 5 pages.
Engineering↗
Kan Extensions
Left and right Kan extensions, their construction by colimits and limits, the adjunction characterisation, and their role in homology of small categories.
Engineering↗
Projective Classes of Epimorphisms
Projective classes, relative projectives, allowable epimorphisms, relative exactness, and the examples that motivate relative homological algebra.
Engineering↗
Relative Derived Functors
Construction of relative derived functors from relative resolutions, their properties, the comparison with absolute derived functors, and worked examples.
Engineering↗
Satellites
Left and right satellites of an additive functor, their construction, the connection with derived functors, and their use when the category lacks enough projectives.
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Other tags in the library.
mathematics 387
abstract algebra 252
Machine Design 184
business 179
project management 158
Computational Number Theory 123
algebra handbook 85
graduate mathematics 85
handbook 79
templates and examples 78
History of Engineering 77
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algebra and trigonometry 74
universal algebra 62
algebra 60
project delivery 60
principles of project management 58
advanced algebra 53
Fasteners and Joints 53
Civil Engineering 48
CAD 42
Context and scope 42
Machine Elements 40
Threading and Gaging 37
Mechanical Engineering 35
Power Transmission 34
template 34
Operational Excellence 32
example 31
project leadership 31
project teams 31
strategy 31
Business Expansion 29
Metrology 29
project management research 29
Sales & Marketing 29
personal development 27
behaviour change 26
habits 26
systems 26