Corpus ID: 15531319

Extremally $T_1$-spaces and Related Spaces

@inproceedings{Dontchev1998ExtremallyA,
  title={Extremally \$T_1\$-spaces and Related Spaces},
  author={Julian Dontchev and Maximilian Ganster and L{\'a}szl{\'o} Zsilinszky},
  year={1998}
}
The aim of this paper is introduce and initiate the study of extremally $T_1$-spaces, i.e., the spaces where all hereditarily compact $C_2$-subspaces are closed. A $C_2$-space is a space whose nowhere dense sets are finite. 

References

Publications referenced by this paper.
SHOWING 1-10 OF 21 REFERENCES

Rings of Integer-Valued Continuous Functions

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Between T1 and T2

VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

A NOTE ON HAUSDORFF SEPARATION

VIEW 1 EXCERPT

A note on Hausdorff separation properties in first axiom spaces

  • A. J. Insell
  • Amer. Math. Monthly, 72
  • 1965
VIEW 1 EXCERPT

A problem of set-theoretic topology

  • E. Hewitt
  • Duke Math. J., 10
  • 1943
VIEW 1 EXCERPT