Some topological and cardinal properties of the space of permutation degree
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DOI: 10.2298/fil2220059k
Abstract: In this paper, we prove a few facts and some cardinal properties of the space of permutation degree introduced in [6]. More precisely, we prove that if the productXn is a Lindel?f (resp. locally Lindel?f)… read more here.
Keywords: cardinal properties; space; properties space; space permutation ... See more keywords
Some Cardinal and Geometric Properties of the Space of Permutation Degree
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DOI: 10.3390/axioms11060290
Abstract: This paper is devoted to the investigation of cardinal invariants such as the hereditary density, hereditary weak density, and hereditary Lindelöf number. The relation between the spread and the extent of the space SP2(R,τ(A)) of… read more here.
Keywords: space; properties space; cardinal geometric; permutation degree ... See more keywords
Some network-type properties of the space of G-permutation degree
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DOI: 10.4995/agt.2023.18985
Abstract: In this paper the network-type properties (network,cs−network,cs∗−network,cn−network andck−network) of the spaceSPnGXofG-permutation degree ofXare studied. It is proved that:(1) IfXis aT1-space that has a network of cardinality≤κ, thenSPnGXhas a network of cardinality≤κ;(2) IfXis aT1-space that has… read more here.
Keywords: network resp; network; type properties; network type ... See more keywords