Geodesic
Quasicontinuous functions and the topology of uniform convergence on compacta
Filomat, Tome 35 (2021) no. 3, p. 911

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DOI

Let X be a Hausdorff topological space, Q(X, R) be the space of all quasicontinuous functions on X with values in R and τ UC be the topology of uniform convergence on compacta. If X is hemicompact, then (Q(X, R), τ UC) is metrizable and thus many cardinal invariants, including weight, density and cellularity coincide on (Q(X, R), τ UC). We find further conditions on X under which these cardinal invariants coincide on (Q(X, R), τ UC) as well as characterizations of some cardinal invariants of (Q(X, R), τ UC). It is known that the weight of continuous functions (C(R, R), τ UC) is ℵ 0. We will show that the weight of (Q(R, R), τ UC) is 2 c
DOI : 10.2298/FIL2103911H
Classification : 54C35, 54C08, 54C30
Keywords: Quasicontinuous functions, topology of uniform convergence on compacta, density, weight, netweight, cellularity 
Ĺubica Holá; Dušan Holý. Quasicontinuous functions and the topology of uniform convergence on compacta. Filomat, Tome 35 (2021) no. 3, p. 911 . doi: 10.2298/FIL2103911H
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     author = {\'Lubica Hol\'a and Du\v{s}an Hol\'y},
     title = {Quasicontinuous functions and the topology of uniform convergence on compacta},
     journal = {Filomat},
     pages = {911 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103911H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103911H/}
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