Geodesic
Bruijning--Nagata and Hashimoto--Hattori characteristics of covering dimension revisited
Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 353-361

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New dimension functions for topological spaces are introduced in the spirit of Nagata's approach. Expressions for the new functions in terms of covering dimension include the Bruijning–Nagata and Hashimoto–Hattori formulas. 
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     author = {S. A. Bogatyi and A. N. Karpov},
     title = {Bruijning--Nagata and {Hashimoto--Hattori} characteristics of covering dimension revisited},
     journal = {Matemati\v{c}eskie zametki},
     pages = {353--361},
     publisher = {mathdoc},
     volume = {79},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a2/}
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S. A. Bogatyi; A. N. Karpov. Bruijning--Nagata and Hashimoto--Hattori characteristics of covering dimension revisited. Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 353-361. http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a2/