Zobrazeno 1 - 10 of 24 pro vyhledávání: '"H. H. Wicke"'
1
Characterizations of paracompactness and subparacompactness using star reducibility
Autor: J. M. Worrell, H. H. Wicke
Publikováno v: Proceedings of the American Mathematical Society. 111:1119-1119
Paracompactness and subparacompactness are characterized using star reducibility and regular (respectively, subregular) refinabilit. Applications are made to p-spaces, developable spaces, and metrizable spaces
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4ed8f7ca16c12b698451fbb993272bf4
https://doi.org/10.1090/s0002-9939-1991-1054164-4
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2
Point-countability and compactness
Autor: J. M. Worrell, H. H. Wicke
Publikováno v: Proceedings of the American Mathematical Society. 55:427-431
We prove that if a countably compact space X X has an open cover U = ⋃ { V n : n > ω } \mathcal {U} = \bigcup {\{ {\mathcal {V}_n}:n > \omega \} } such that each x ∈ X x \in X is in at least one but not more than countably many elements of some
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4783a5dd6d1867173854e4b8c1a93f2a
https://doi.org/10.1090/s0002-9939-1976-0400166-x
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3
A Characterization of Spaces Having Bases of Countable Order in Terms of Primitive Bases
Autor: H. H. Wicke, J. M. Worrell
Publikováno v: Canadian Journal of Mathematics. 27:1100-1109
The main theorem of this paper characterizes the class of essentially T1 spaces having bases of countable order as those spaces of the class of essentially T1 spaces having primitive bases in which closed sets are sets of interior condensation. In ad
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::221dfab1d56a9e4b78b60ff8ae9ff2a2
https://doi.org/10.4153/cjm-1975-115-1
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4
A covering property which implies isocompactness. I
Autor: J. M. Worrell, H. H. Wicke
Publikováno v: Proceedings of the American Mathematical Society. 79:331-334
We define a covering property for a topological space which does not explicitly mention countability or finitude of collections although it generalizes weak δ θ \delta \theta -refinability. We prove a general theorem that implies that countably com
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0b1444e044dcae632da02fb3f939a405
https://doi.org/10.1090/s0002-9939-1980-0565365-6
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5
The concept of a θ-refinable embedding
Autor: J. M. Worrell, H. H. Wicke
Publikováno v: General Topology and its Applications. 6(2):167-181
In this paper we prove a theorem concerning θ -refinable embeddings which unifies numerous results concerning θ -refinability principally by clarifying connections between spaces defined by sequences of open covers satisfying monotone type conditio
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb64d8b910f2669e19750bda1f2d5b2f
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7
Characterizations of Developable Topological Spaces
Autor: J. M. Worrell, H. H. Wicke
Publikováno v: Canadian Journal of Mathematics. 17:820-830
The class of developable topological spaces, which includes the metrizable spaces, has been fundamentally involved in investigations in point set topology. One example is the remarkable edifice of theorems relating to these spaces constructed by R. L
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::08c33c7fe5b447324565d8aa2ad496a6
https://doi.org/10.4153/cjm-1965-080-3
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8
Perfect mappings and certain interior images of 𝑀-spaces
Autor: H. H. Wicke, J. M. Worrell
Publikováno v: Transactions of the American Mathematical Society. 181:23-35
The main theorems of this paper show that certain conditions (called λ c , λ b , β c {\lambda _c},{\lambda _b},{\beta _c} , and β b {\beta _b} ) are invariant, in the presence of T 0 {T_0} -regularity, under the application of closed continuous p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a02f1c8409829fe9fecec6a1e1de133a
https://doi.org/10.1090/s0002-9947-1973-0320990-3
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