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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2015 Volume 98, Issue 2, Pages 288–299 (Mi mzm10287)

Iterations of Resolvents and Homogeneous Cut-Point Spaces

M. S. Shulikina

Tomsk Polytechnic University

Abstract: An approach describing the spaces of iterations of resolvents with constant mappings is given. Its use allows one to construct (homogeneous, not algebraically homogeneous) cut-point spaces of arbitrary order.

Keywords: resolvent, iteration of a resolvent, cut-point space, compact Hausdorff space, base for a topology, homeomorphism of spaces, connected space, fiber.

UDC: 515.122.5

Received: 29.03.2013
Revised: 23.07.2014

DOI: 10.4213/mzm10287


 English version:
Mathematical Notes, 2015, 98:2, 316–324

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© Steklov Math. Inst. of RAS, 2026