This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.
Concentrating on proven data and adopting a structure-function approach, this text provides grounding for an intricate understanding of the molecular biology, physiological mechanisms, and routine clinical use in disease settings of colony-stimulating factors (CSFs). This edition includes eight additional chapters, with updates of recently ...
Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six ...
These notes constitute a faithful record of a short course of lectures given in Sao Paulo, Brazil, in the summer of 1968. The audience was assumed to be familiar with the basic material of homology and homotopy theory, and the object of the course was to explain the methodology of general cohomology theory and to give applications of K-theory to ...
This text provides a broad introduction to homological algebra, including a comprehensive set of exercises. Since publication of the first edition, homological algebra has found a large number of applications in many different fields, so that it is now an indispensable tool in fields raning from finite and infinite group theory to representation ...
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