A Model of Directed Graph Cofiber
Keyword(s):
In the homotopy theory of spaces, the image of a continuous map is contractible to a point in its cofiber. This property does not apply when we discretize spaces and continuous maps to directed graphs and their morphisms. In this paper, we give a construction of a cofiber of a directed graph map whose image is contractible in the cofiber. Our work reveals that a category-theoretically correct construction in continuous setup is no longer correct when it is discretized and hence leads to look at canonical constructions in category theory in a different perspective.
2015 ◽
Vol 24
(6)
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pp. 873-928
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Keyword(s):
2015 ◽
Vol 49
(6)
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pp. 221-231
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2013 ◽
Vol 6
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pp. 4-8
Keyword(s):
1986 ◽
Vol 38
(6)
◽
pp. 1281-1298
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Keyword(s):
1995 ◽
Vol 05
(05)
◽
pp. 1433-1435
Keyword(s):