Directed Sets and Cofinal Types

1985 ◽  
Vol 290 (2) ◽  
pp. 711 ◽  
Author(s):  
Stevo Todorcevic
Keyword(s):  
Directed Sets

GAP SEQUENCES OF GRAPH-DIRECTED SETS

Fractals ◽  
2016 ◽  
Vol 24 (03) ◽  
pp. 1650036
Author(s):  
JUAN DENG ◽  
LIFENG XI
Keyword(s):  
Separation Condition ◽  
Interesting Application ◽  
Strong Separation ◽  
Self Similar ◽  
Strong Separation Condition ◽  
Directed Sets ◽  
Gap Sequences

This paper studies the gap sequences of graph-directed sets satisfying the strong separation condition. An interesting application is to investigate the gap sequences of self-similar sets with overlaps.

A lemma on directed sets and chains

1967 ◽  
Vol 18 (6) ◽  
pp. 561-563 ◽  
Author(s):  
Günter Bruns
Keyword(s):  
Directed Sets

Directoids: algebraic models of up-directed sets

1990 ◽  
Vol 27 (1) ◽  
pp. 49-69 ◽  
Author(s):  
J. Ježek ◽  
R. Quackenbush
Keyword(s):  
Algebraic Models ◽  
Directed Sets

scholarly journals Directed sets and cofinal types

1985 ◽  
Vol 290 (2) ◽  
pp. 711-711 ◽  
Author(s):  
Stevo Todorčevi{ć
Keyword(s):  
Directed Sets

Pro-Categories and Multiadjoint Functors

1984 ◽  
Vol 36 (1) ◽  
pp. 144-155 ◽  
Author(s):  
Walter Tholen
Keyword(s):  
Homotopy Category ◽  
Topological Spaces ◽  
Full Embedding ◽  
Image Position ◽  
Directed Sets

For a functor G:𝒜→𝔛 and a class 𝔇 of small categories containing the terminal category 1 we form the extensionand call G right 𝔇-pro-adjoint if and only if Pro (𝔇, G) is right adjoint. Here Pro (𝔇, 𝒜) is the completion of 𝒜with respect to 𝔇; it coincides with the usual pro-category of 𝒜 in case 𝔇 = directed sets. For this 𝔇 a full embedding Gis dense in the sense of Mardešić [11] if and only if it is right 𝔇-pro-adjoint in the above sense; this has been proved recently by Stramaccia [15]. The most important example is the embedding of the homotopy category of pointed CW-complexes into the homotopy category of pointed topological spaces (cf. [2]).

Chain-complete posets and directed sets with applications

1976 ◽  
Vol 6 (1) ◽  
pp. 53-68 ◽  
Author(s):  
George Markowsky
Keyword(s):  
Chain Complete ◽  
Directed Sets

Directed Sets and Malitz-Cauchy-Completions

1997 ◽  
Vol 43 (4) ◽  
pp. 465-484 ◽  
Author(s):  
Roland Hinnion
Keyword(s):  
Directed Sets
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