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Description of  Algebraic Topology: A Primer

8185931682 pdf From the preface This book is designed to serve as a textbook for a first course in algebraic topology described above. In order to lay down the real foundation of algebraic topology, we have also included abrief introduction to singular homology and cohomology. Approach to the contents has been dictated by several advanced courses taught by the author on different topics of algebraic topology at many universities. It is necessary to mention that the subject appears a bit abstract to begin with, but after a while it presents concrete topological as weIl as geometrical results of great insight and depth. The beginning student is expected to have some patience before appreciating the depth of these results. Maxi- mum care has been taken to emphasize the subtle points of the concepts and results in a lucid manner. Examples are given at every stage to illustrate and bring out the underlying concepts and the results. It is hoped that the detailed explanations will help the student to grasp the results correctly and to have asound understanding of the subject with confidence…