A Plane Continuum no Two of Whose Non-Degenerate Subcontinua are Homeomorphic: An Application of Inverse Limits

1959 ◽  
Vol 10 (3) ◽  
pp. 347 ◽  
Author(s):  
R. D. Anderson ◽  
Gustave Choquet
Keyword(s):  
Inverse Limits ◽  
Plane Continuum

scholarly journals A plane continuum no two of whose nondegenerate subcontinua are homeomorphic: An application of inverse limits

1959 ◽  
Vol 10 (3) ◽  
pp. 347-347 ◽  
Author(s):  
R. D. Anderson ◽  
Gustave Choquet
Keyword(s):  
Inverse Limits ◽  
Plane Continuum

Inverse limits of upper semicontinuous functions and indecomposable continua

2021 ◽  
Vol 288 ◽  
pp. 107471
Author(s):  
Gareth Davies ◽  
Sina Greenwood ◽  
Michael Lockyer ◽  
Yuki Maehara
Keyword(s):  
Inverse Limits ◽  
Upper Semicontinuous ◽  
Upper Semicontinuous Functions ◽  
Semicontinuous Functions ◽  
Indecomposable Continua

scholarly journals Chainability of inverse limits with a single irreducible function on [0,1]

2014 ◽  
Vol 176 ◽  
pp. 57-75 ◽  
Author(s):  
James P. Kelly
Keyword(s):  
Inverse Limits

Inverse Limits in a General Setting

2011 ◽  
pp. 75-129
Author(s):  
W. T. Ingram ◽  
William S. Mahavier
Keyword(s):  
General Setting ◽  
Inverse Limits

Inverse Limits on [0,1] Using Tent Maps and Certain Other Piecewise Linear Bonding Maps

Continua ◽  
2020 ◽  
pp. 253-258
Author(s):  
W. T. Ingram
Keyword(s):  
Piecewise Linear ◽  
Inverse Limits ◽  
Tent Maps

Inverse Limits and Related Topics

2005 ◽  
pp. 69-142
Author(s):  
Sergio Macías
Keyword(s):  
Inverse Limits

Profinite Modules

1973 ◽  
Vol 16 (3) ◽  
pp. 405-415
Author(s):  
Gerard Elie Cohen
Keyword(s):  
Finite Group ◽  
General Theory ◽  
Finite Length ◽  
Finite Groups ◽  
Inverse Limit ◽  
Abelian Groups ◽  
Point Of View ◽  
Inverse Limits ◽  
Profinite Groups ◽  
Inverse Systems

An inverse limit of finite groups has been called in the literature a pro-finite group and we have extensive studies of profinite groups from the cohomological point of view by J. P. Serre. The general theory of non-abelian modules has not yet been developed and therefore we consider a generalization of profinite abelian groups. We study inverse systems of discrete finite length R-modules. Profinite modules are inverse limits of discrete finite length R-modules with the inverse limit topology.

scholarly journals Approximate inverse limits and (m,n)-dimensions

2021 ◽  
Vol 56 (1) ◽  
pp. 175-194
Author(s):  
James F. Peters ◽  
◽  
Keyword(s):  
Fixed Point ◽  
Abelian Group ◽  
Free Abelian Group ◽  
Betti Numbers ◽  
Boundary Region ◽  
Inverse Limits ◽  
Jordan Curve Theorem ◽  
Group Representations ◽  
Approximate Inverse ◽  
Fixed Cell

This paper introduces shape boundary regions in descriptive proximity forms of CW (Closure-finite Weak) spaces as a source of amiable fixed subsets as well as almost amiable fixed subsets of descriptive proximally continuous (dpc) maps. A dpc map is an extension of an Efremovič-Smirnov proximally continuous (pc) map introduced during the early-1950s by V.A. Efremovič and Yu.M. Smirnov. Amiable fixed sets and the Betti numbers of their free Abelian group representations are derived from dpc's relative to the description of the boundary region of the sets. Almost amiable fixed sets are derived from dpc's by relaxing the matching description requirement for the descriptive closeness of the sets. This relaxed form of amiable fixed sets works well for applications in which closeness of fixed sets is approximate rather than exact. A number of examples of amiable fixed sets are given in terms of wide ribbons. A bi-product of this work is a variation of the Jordan curve theorem and a fixed cell complex theorem, which is an extension of the Brouwer fixed point theorem.

scholarly journals 2-manifolds and inverse limits of set-valued functions on intervals

2017 ◽  
Vol 37 (11) ◽  
pp. 5693-5706 ◽  
Author(s):  
Sina Greenwood ◽  
◽  
Rolf Suabedissen ◽  
Keyword(s):  
Inverse Limits
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