12

votes

answers

465

views

Continuous bijections vs. Homeomorphisms

gn.general-topology

feb 7 12 at 19:35 Ramiro de la Vega 3,590●7●15

6

votes

1

answer

436

views

A topological space for which having the ccc is independent of ZFC?

gn.general-topology set-theory

oct 6 11 at 0:07 Joel David Hamkins 74.9k●7●187●343

7

votes

1

answer

314

views

Is there a compact space with no countably generated dense subspace?

gn.general-topology set-theory reference-request

feb 27 at 21:33 Ramiro de la Vega 3,590●7●15

5

votes

0

answers

309

views

Continuous images of Cantor cubes

gn.general-topology set-theory point-set-topology

feb 2 12 at 11:50 Ramiro de la Vega 3,590●7●15

7

votes

1

answer

304

views

Is there always an uncountable $\kappa$ such that $\kappa^{\aleph_0}=2^\kappa$?

set-theory cardinal-arithmetic lo.logic reference-request

feb 22 12 at 1:22 Joel David Hamkins 74.9k●7●187●343

3

votes

1

answer

278

views

Determining continuous functions on Banach spaces

fa.functional-analysis banach-spaces gn.general-topology topology reference-request

may 23 at 23:22 MathOverflow♦ 1●2●3

Questions

Continuous bijections vs. Homeomorphisms

A topological space for which having the ccc is independent of ZFC?

Is there a compact space with no countably generated dense subspace?

Continuous images of Cantor cubes

Is there always an uncountable $\kappa$ such that $\kappa^{\aleph_0}=2^\kappa$?

Determining continuous functions on Banach spaces