The most function of this booklet is to offer a scientific remedy of singular homology and cohomology thought. it's in a few feel a sequel to the author's prior publication during this Springer-Verlag sequence entitled Algebraic Topology: An creation. This past publication is well now not a logical prerequisite for the current quantity. even if, it's going to definitely be valuable for a potential reader to have an acquaintance with a number of the issues handled in that past quantity, equivalent to 2-dimensional manifolds and the funda­ psychological team. Singular homology and cohomology idea has been the topic of a few textbooks within the final couple of many years, so the fundamental define of the idea within reason good validated. as a result, from the perspective of the maths concerned, there may be little that's new or unique in a e-book akin to this. however, there's nonetheless room for loads of type and originality within the info of the exposition. during this quantity the writer has attempted to offer an easy therapy of the subject material, stripped of all pointless definitions, terminology, and technical equipment. He has additionally attempted, at any place possible, to stress the geometric motivation at the back of a number of the suggestions.

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