1. CMB 2014 (vol 57 pp. 579)
 Larson, Paul; Tall, Franklin D.

On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces
We establish that if it is consistent that there is a
supercompact cardinal, then it is consistent that every locally
compact, hereditarily normal space which does not include a perfect
preimage of $\omega_1$ is hereditarily paracompact.
Keywords:locally compact, hereditarily normal, paracompact, Axiom R, PFA$^{++}$ Categories:54D35, 54D15, 54D20, 54D45, 03E65, 03E35 

2. CMB 2014 (vol 57 pp. 683)
 Aurichi, Leandro F.; Dias, Rodrigo R.

Topological Games and Alster Spaces
In this paper we study connections between topological games
such
as Rothberger, Menger and compactopen, and relate these games
to
properties involving covers by $G_\delta$ subsets. The results
include:
(1) If Two has a winning strategy in the Menger
game on a regular space $X$, then $X$ is an Alster space.
(2) If Two has a winning strategy in the Rothberger game on a
topological space $X$, then the $G_\delta$topology on $X$ is
LindelÃ¶f.
(3) The Menger game and the compactopen game are (consistently)
not
dual.
Keywords:topological games, selection principles, Alster spaces, Menger spaces, Rothberger spaces, Menger game, Rothberger game, compactopen game, $G_\delta$topology Categories:54D20, 54G99, 54A10 

3. CMB 2011 (vol 56 pp. 203)
 Tall, Franklin D.

Productively LindelÃ¶f Spaces May All Be $D$
We give easy proofs that (a) the Continuum Hypothesis implies that if
the product of $X$ with every LindelÃ¶f space is LindelÃ¶f, then $X$ is
a $D$space, and (b) Borel's Conjecture implies every Rothberger space
is Hurewicz.
Keywords:productively LindelÃ¶f, $D$space, projectively $\sigma$compact, Menger, Hurewicz Categories:54D20, 54B10, 54D55, 54A20, 03F50 

4. CMB 1998 (vol 41 pp. 245)
 Yang, Lecheng

The normality in products with a countably compact factor
It is known that the product $\omega_1 \times X$ of
$\omega_1$ with an $M_1$space may be nonnormal. In this paper we
prove that the product $\kappa \times X$ of an uncountable regular
cardinal $\kappa$ with a paracompact semistratifiable space is normal
if{f} it is countably paracompact. We also give a sufficient
condition under which the product of a normal space with a paracompact
space is normal, from which many theorems involving such a product
with a countably compact factor can be derived.
Categories:54B19, 54D15, 54D20 

5. CMB 1997 (vol 40 pp. 395)
 Boudhraa, Zineddine

$D$spaces and resolution
A space $X$ is a $D$space if, for every neighborhood assignment $f$
there is a closed discrete set $D$ such that $\bigcup{f(D)}=X$. In this
paper we give some necessary conditions and some sufficient conditions
for a resolution of a topological space to be a $D$space. In particular,
if a space $X$ is resolved at each $x\in X$ into a $D$space $Y_x$ by
continuous mappings $f_x\colon X\{{x}\} \rightarrow Y_x$, then the
resolution is a $D$space if and only if $\bigcup{\{{x}\}}\times \Bd(Y_x)$
is a $D$space.
Keywords:$D$space, neighborhood assignment, resolution, boundary Categories:54D20, 54B99, 54D10, 54D30 
