On bicompacta in -products and related spaces
N. N. Yakovlev (1980)
Commentationes Mathematicae Universitatis Carolinae
Xiangdong Chen (1992)
Commentationes Mathematicae Universitatis Carolinae
The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.
M. Mršević (1979)
Matematički Vesnik
Anna Gmurczyk (1976)
Fundamenta Mathematicae
Anna Tozzi, Oswald Wyler (1987)
Acta Universitatis Carolinae. Mathematica et Physica
Deo, Satya, Singh, Mohan (1983)
International Journal of Mathematics and Mathematical Sciences
Lukasz A. Fudali (1983)
Mathematica Slovaca
Raushan Z. Buzyakova (2001)
Commentationes Mathematicae Universitatis Carolinae
The results concern clopen sets in products of topological spaces. It is shown that a clopen subset of the product of two separable metrizable (or locally compact) spaces is not always a union of clopen boxes. It is also proved that any clopen subset of the product of two spaces, one of which is compact, can always be represented as a union of clopen boxes.
Boris S. Klebanov (1988)
Czechoslovak Mathematical Journal
Andrzej Gutek (1980)
Fundamenta Mathematicae
Aleksander V. Arhangel'skii (1976)
Commentationes Mathematicae Universitatis Carolinae
Leandro Candido, Piotr Koszmider (2016)
Studia Mathematica
Given a compact Hausdorff space K we consider the Banach space of real continuous functions C(Kⁿ) or equivalently the n-fold injective tensor product or the Banach space of vector valued continuous functions C(K,C(K,C(K...,C(K)...). We address the question of the existence of complemented copies of c₀(ω₁) in under the hypothesis that C(K) contains such a copy. This is related to the results of E. Saab and P. Saab that contains a complemented copy of c₀ if one of the infinite-dimensional Banach...
Aarno Hohti, Jan Pelant (1985)
Fundamenta Mathematicae
M. Mršević (1980)
Matematički Vesnik
M. Mršević (1979)
Matematički Vesnik
Aleksander V. Arhangel'skii, Juraj Činčura (1984)
Commentationes Mathematicae Universitatis Carolinae
Boonpok, C. (2009)
General Mathematics
Takemi Mizokami (1981)
Colloquium Mathematicae
R. Duda (1970)
Fundamenta Mathematicae
S. Topa (1976)
Annales Polonici Mathematici