On Generalized Manifolds

S. Lefschetz

A chapter in The Mathematical Legacy of Eduard Čech, 1993, pp 282-317 from Springer

Abstract: Abstract The object of the present paper is to extend to a larger class of spaces certain results recently obtained for topological manifolds. † The extension consists in replacing the requirement that every point possess a combinatorial cell for neighborhood by certain weaker conditions on the chains through the point. Eoughly speaking they amount to demanding that locally any p-chain be deformable (in a certain very general sense) into one’which does not meet any assigned q-space (= q dimensional space), where p + q

Keywords: Closed Subset; Algebraic Topology; Homology Theory; Generalize Manifold; Proper Closed Subset (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-3-0348-7524-0_23

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