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Contents"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829825","https://noah.nrw/i3f/v20/5140503/canvas/5829826","https://noah.nrw/i3f/v20/5140503/canvas/5829827","https://noah.nrw/i3f/v20/5140503/canvas/5829828","https://noah.nrw/i3f/v20/5140503/canvas/5829829","https://noah.nrw/i3f/v20/5140503/canvas/5829830"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829824","@type":"sc:Range","label":"Introduction"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829833","https://noah.nrw/i3f/v20/5140503/canvas/5829836","https://noah.nrw/i3f/v20/5140503/canvas/5829838","https://noah.nrw/i3f/v20/5140503/canvas/5829840","https://noah.nrw/i3f/v20/5140503/canvas/5829844","https://noah.nrw/i3f/v20/5140503/canvas/5829845"],"ranges":["https://noah.nrw/i3f/v20/5140503/range/5829832","https://noah.nrw/i3f/v20/5140503/range/5829834","https://noah.nrw/i3f/v20/5140503/range/5829841","https://noah.nrw/i3f/v20/5140503/range/5829842","https://noah.nrw/i3f/v20/5140503/range/5829843"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829831","@type":"sc:Range","label":"Preliminaries on (poset) topology"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829833"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829832","@type":"sc:Range","label":"Posets and their realisations"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829836","https://noah.nrw/i3f/v20/5140503/canvas/5829838","https://noah.nrw/i3f/v20/5140503/canvas/5829840"],"ranges":["https://noah.nrw/i3f/v20/5140503/range/5829835","https://noah.nrw/i3f/v20/5140503/range/5829837","https://noah.nrw/i3f/v20/5140503/range/5829839"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829834","@type":"sc:Range","label":"Tools from poset topology"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829836"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829835","@type":"sc:Range","label":"Fibre theorems"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829838"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829837","@type":"sc:Range","label":"Homotopic poset maps and monotonicity"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829840"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829839","@type":"sc:Range","label":"Alexander duality for posets"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829844","https://noah.nrw/i3f/v20/5140503/canvas/5829845"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829843","@type":"sc:Range","label":"The Cohen\u2013Macaulay 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generation"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829855","https://noah.nrw/i3f/v20/5140503/canvas/5829857","https://noah.nrw/i3f/v20/5140503/canvas/5829858","https://noah.nrw/i3f/v20/5140503/canvas/5829860","https://noah.nrw/i3f/v20/5140503/canvas/5829861","https://noah.nrw/i3f/v20/5140503/canvas/5829863"],"ranges":["https://noah.nrw/i3f/v20/5140503/range/5829856","https://noah.nrw/i3f/v20/5140503/range/5829859","https://noah.nrw/i3f/v20/5140503/range/5829862"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829854","@type":"sc:Range","label":"Higher generation and Cohen\u2013Macaulay complexes"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829857","https://noah.nrw/i3f/v20/5140503/canvas/5829858"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829856","@type":"sc:Range","label":"Parabolic subgroups and buildings"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829860","https://noah.nrw/i3f/v20/5140503/canvas/5829861"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829859","@type":"sc:Range","label":"Levi subgroups and the opposition complex"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829863"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829862","@type":"sc:Range","label":"Characterisation of CM coset complexes"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829865","https://noah.nrw/i3f/v20/5140503/canvas/5829866","https://noah.nrw/i3f/v20/5140503/canvas/5829868","https://noah.nrw/i3f/v20/5140503/canvas/5829870","https://noah.nrw/i3f/v20/5140503/canvas/5829871","https://noah.nrw/i3f/v20/5140503/canvas/5829873","https://noah.nrw/i3f/v20/5140503/canvas/5829874"],"ranges":["https://noah.nrw/i3f/v20/5140503/range/5829867","https://noah.nrw/i3f/v20/5140503/range/5829869","https://noah.nrw/i3f/v20/5140503/range/5829872"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829864","@type":"sc:Range","label":"Coset complexes and short exact sequences"},{"canvases":["https://noah.nrw/i3f/v20/5140503/canvas/5829868"],"@id":"https://noah.nrw/i3f/v20/5140503/range/5829867","@type":"sc:Range","label":"Coset 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