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This lecture covers the architecture of text retrieval systems, focusing on indexing techniques for efficient information retrieval. It explains the concept of inverted files, addressing document and word positions within documents. The lecture also discusses the physical organization of inverted files, index construction, and compression. Examples illustrate the construction and searching of inverted files, as well as the map-reduce programming model for large-scale index construction. The importance of addressing granularity and the use of tries in index construction are also highlighted. Various applications of map-reduce in text and web data processing are explored, along with the significance of postings in indexing.