scientific article

zbMath0426.55001MaRDI QIDQ3862094

Philip R. Heath

Publication date: 1978

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fibrationsexact sequencessuspensionsfundamental groupoidgroupoidshomotopy theorySerre fibrationshomotopy extension propertycofibrationsPuppe sequencesmapping cylinderscoglueing

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Homotopy extension properties, cofibrations in algebraic topology (55P05) (H)-spaces and duals (55P45) Homotopy groups, general; sets of homotopy classes (55Q05) Fundamental group, presentations, free differential calculus (57M05) Homotopy groups of special spaces (55Q52) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology (55-01)

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A kind of characterization of homeomorphism and homeomorphic spaces by Core fundamental groupoid: a good invariant ⋮ Groupoids and relations among Reidemeister and among Nielsen numbers ⋮ Groupoids and the Mayer-Vietoris sequence

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