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A Bing-Borsuk retract which contains a 2-dimensional absolute retract

100%

Armentrout S.

Instytut Matematyczny Polskiej Akademii Nauk

EN

Contents 1. Introduction .................................................................................................. 5 2. Antoine's necklaces.................................................................................... 6 3. Wreaths......................................................................................................... 7 4. Construction of discs.................................................................................. 7 5. Construction of Bing-Borsuk retracts ..................................................... 9 6. Sets in solid tori ......................................................................................... 10 7. Replacing discs in solid tori .................................................................... 14 8. Discs in $X^{ir}$.......................................................................................... 18 9. $X^{ir}$ is an AR.......................................................................................... 19 10. Construction of the decomposition M................................................... 22 11. X is a 2-dimensional AR.......................................................................... 30 12. Q* contains a 2-dimensional AR........................................................... 36 13. Concluding remarks ............................................................................... 36 References ...................................................................................................... 39

2

On the strong local simple connectivity of the decomposition spaces of toroidal decompositions

60%

Armentrout S.

Fundamenta Mathematicae

|

1970

|

tom 69

|

nr 1

15-37

3

Concerning the unions of absolute neighborhood retracts having brick decompositions

48%

Armentrout S.

Fundamenta Mathematicae

|

1971

|

tom 72

|

nr 1

69-78

4

On the singularity of Mazurkiewicz in absolute neighborhood retracts

48%

Armentrout S.

Fundamenta Mathematicae

|

1970

|

tom 69

|

nr 2

131-145

5

A three-dimensional spheroidal space which is not a sphere

42%

Armentrout S.

Fundamenta Mathematicae

|

1970

|

tom 68

|

nr 2

183-186

6

On embedding decomposition spaces of $E^n$ in $E^{n+1}$

42%

Armentrout S.

Fundamenta Mathematicae

|

1967

|

tom 61

|

nr 1

1-21

7

A toroidal decomposition of E3

37%

Armentrout S., Bing R. H.

Fundamenta Mathematicae

|

1967

|

tom 60

|

nr 1

81-87

Ograniczanie wyników

6 Fundamenta Mathematicae

7 Armentrout S.

1 Bing R. H.

1 1975

1 1971

3 1970

2 1967

A Bing-Borsuk retract which contains a 2-dimensional absolute retract

On the strong local simple connectivity of the decomposition spaces of toroidal decompositions

Concerning the unions of absolute neighborhood retracts having brick decompositions

On the singularity of Mazurkiewicz in absolute neighborhood retracts

A three-dimensional spheroidal space which is not a sphere

On embedding decomposition spaces of $E^n$ in $E^{n+1}$

A toroidal decomposition of E3