Seminar on Triples and Categorical Homology Theory
by B. Eckmann
Publisher: Springer 1969
Number of pages: 304
This volume concentrates on two closely related topics of special interest: namely a) on the concept of "triple" or standard construction with special reference to the associated "algebras", and b) on homology theories in general categories, based upon triples and simplicial methods.
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by Maarten M. Fokkinga - University of Twente
These notes present the important notions from category theory. The intention is to provide a fairly good skill in manipulating with those concepts formally. This text introduces category theory in the calculational style of the proofs.
This book is an introduction to category theory, written for those who have some understanding of one or more branches of abstract mathematics, such as group theory, analysis or topology. It contains examples drawn from various branches of math.
by Paul Goerss, Kristen Schemmerhorn - Northwestern University
There are many ways to present model categories, each with a different point of view. Here we would like to treat model categories as a way to build and control resolutions. We are going to emphasize the analog of projective resolutions.
by D. I. Spivak, C. Vasilakopoulou, P. Schultz - arXiv
A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time.