Combinatorics of Thin Posets: Application to Monotone Covering Properties

Maddalena Bonanzinga; Mikhail Matveev

doi:10.1007/s11083-010-9161-5

Combinatorics of Thin Posets: Application to Monotone Covering Properties

Order ◽

10.1007/s11083-010-9161-5 ◽

2010 ◽

Vol 28 (2) ◽

pp. 173-179 ◽

Cited By ~ 2

Author(s):

Maddalena Bonanzinga ◽

Mikhail Matveev

Keyword(s):

Covering Properties

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ON FULL COVERING PROPERTIES

Real Analysis Exchange ◽

10.2307/44151527 ◽

1980 ◽

Vol 6 (1) ◽

pp. 77 ◽

Cited By ~ 8

Author(s):

Thomson

Keyword(s):

Covering Properties

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COVERING PROPERTIES OF SMALL VOLUME HYPERBOLIC 3-MANIFOLDS

Journal of Knot Theory and Its Ramifications ◽

10.1142/s021821659800019x ◽

1998 ◽

Vol 07 (03) ◽

pp. 381-392 ◽

Cited By ~ 15

Author(s):

ALEXANDER MEDNYKH ◽

ANDREI VESNIN

Keyword(s):

Small Volume ◽

Whitehead Link ◽

Covering Properties

Closed hyperbolic 3-manifolds obtained by Dehn surgeries on the Whitehead link yield interesting examples of manifolds of small volume. In the present paper these manifolds are described as 2-fold coverings of the 3-sphere branched over 3-bridge links. As a corollary, maximally symmetric [Formula: see text]-manifolds of small volume are obtained.

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Real Functions, Covers and Bornologies

Tatra Mountains Mathematical Publications ◽

10.2478/tmmp-2021-0014 ◽

2021 ◽

Vol 78 (1) ◽

pp. 199-214

Author(s):

Lev Bukovský

Keyword(s):

Topological Space ◽

Pointwise Convergence ◽

Continuous Functions ◽

Upper Semicontinuous ◽

Upper Semicontinuous Functions ◽

Covering Properties ◽

Real Functions ◽

Topology Of Pointwise Convergence ◽

Semicontinuous Functions

Abstract The paper tries to survey the recent results about relationships between covering properties of a topological space X and the space USC(X) of upper semicontinuous functions on X with the topology of pointwise convergence. Dealing with properties of continuous functions C(X), we need shrinkable covers. The results are extended for A-measurable and upper A-semimeasurable functions where A is a family of subsets of X. Similar results for covers respecting a bornology and spaces USC(X) or C(X) endowed by a topology defined by using the bornology are presented. Some of them seem to be new.

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