Algebraic topology

Hat] Hatcher, A., Algebraic Topology, Cambridge University Press, Cambridge, 2002. Also available online at http //www.math.cornell.edu/ -hatcher/AT/ATpage.hlml. 

Mas] Massey, W.S., Algebraic Topology An Introduction, Springer Verlag, New York, 1967. 

Mu] Munkres, J.R., Elements of Algebraic Topology, Addison-Wesley, Redwood City, 1984. 

No proofs are given but we hope to compensate for this by giving some geometrical examples. More thorough explanations are available in basic algebraic topology textbooks, for example, [HatOl] and [God7l]. 

Dre84] A. W. M. Dress, Regular polytopes and equivariant tessellations from a combinatorial point of view, in Algebraic Topology, SLN1172, Gottingen, 1984,56-72. 

Rot88] J. J. Rotman, An introduction to algebraic topology, Graduate Texts in Mathematics, Springer Verlag, 1988. 

R. Bott and L. W. Tu, Differential forms in Algebraic Topology, Springer, New York, 1982. 

Elements of algebraic topology, chains, cycles, and homology groups. The techniques of algebraic topology are applicable for the description and concise characterization of molecular shapes. Homology theory is usually... 

Molecular similarity, in turn, was expressed in the next step, directly on the topological representations of shapes, and at this level, quantum similarity is not involved directly. Using differential and algebraic topological representations of molecular shapes had several advantages when compared to the direct Quantum Similarity approach ... 

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