Relative homotopy in relational structures

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dc.contributor.authorWitbooi, Peter
dc.date.accessioned2023-02-10T07:29:03Z
dc.date.available2023-02-10T07:29:03Z
dc.date.issued2018
dc.description.abstractThe homotopy groups of a finite partially ordered set (poset) can be described entirely in the context of posets, as shown in a paper by B. Larose and C. Tardif. In this paper we describe the relative version of such a homotopy theory, for pairs (X, A) where X is a poset and A is a subposet of X. We also prove some theorems on the relevant version of the notion of weak homotopy equivalences for maps of pairs of such objects. We work in the category of reflexive binary relational structures which contains the posets as in the work of Larose and Tardif.en_US
dc.identifier.citationWitbooi, P. (2018). Relative homotopy in relational structures. Canadian Mathematical Bulletin, 51(2), 310 - 320. https://doi.org/10.4153/CMB-2008-031-8en_US
dc.identifier.issn1496-4287
dc.identifier.urihttps://doi.org/10.4153/CMB-2008-031-8
dc.identifier.urihttp://hdl.handle.net/10566/8403
dc.language.isoenen_US
dc.publisherCambridge University Pressen_US
dc.subjectApplied Mathematicsen_US
dc.subjectMathematicsen_US
dc.subjectSequenceen_US
dc.subjectHomotopyen_US
dc.titleRelative homotopy in relational structuresen_US
dc.typeArticleen_US

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